{"id":56319,"date":"2021-05-20T17:40:00","date_gmt":"2021-05-20T12:10:00","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=56319"},"modified":"2021-05-20T17:40:27","modified_gmt":"2021-05-20T12:10:27","slug":"ncert-solutions-for-class-12-maths-chapter-10-vector-algebra","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/","title":{"rendered":"NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra"},"content":{"rendered":"\n<p><strong>NCERT Solutions for Class 12 Maths Chapter 10:&nbsp;<\/strong>You can learn about the difference between a scalar and a vector quantity, their properties, vector operations, and more in the NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra. This topic is essential in assisting students in achieving excellent grades not only in the&nbsp;<a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-board-exam\/\"><strong>12th board<\/strong><\/a> exams but also in competitive exams.<\/p>\n<ul>\n<li><strong>All you need to know about&nbsp;<a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-ncert-solutions\/\" target=\"_blank\" rel=\"noopener noreferrer\">NCERT Solutions Class 12 Maths<\/a><\/strong><\/li>\n<\/ul>\n<p>We are here with Vector Algebra Class 12 NCERT Solutions for a subtle yet powerful initiation to sit with your chapter 10 from the Maths curriculum. Hence, Download and go through the Chapter 10 Maths Class 12&nbsp;Solutions PDF!<\/p>\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_47_1 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"ez-toc-toggle-icon-1\"><label for=\"item-69d183eae0019\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;direction:ltr;\"><svg style=\"fill: #000000;color:#000000\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #000000;color:#000000\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input  type=\"checkbox\" id=\"item-69d183eae0019\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-visibility-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#download-ncert-solutions-for-class-12-maths-chapter-10-vector-algebra-pdf\" title=\"Download NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra PDF\">Download NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra PDF<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#access-vector-algebra-class-12-ncert-solutions-pdf\" title=\"Access Vector Algebra Class 12 NCERT Solutions PDF\">Access Vector Algebra Class 12 NCERT Solutions PDF<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#what-will-you-get-in-ncert-solutions-for-class-12-maths-chapter-10-%e2%80%93-vector-algebra\" title=\"What will you get in NCERT Solutions for Class 12 Maths Chapter 10 &#8211; Vector Algebra?\">What will you get in NCERT Solutions for Class 12 Maths Chapter 10 &#8211; Vector Algebra?<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#let-us-now-have-a-thorough-look-at-the-content-of-the-chapter\" title=\"Let us now have a thorough look at the content of the chapter-\">Let us now have a thorough look at the content of the chapter-<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#let-us-now-take-a-quick-look-at-the-exercise-solution-section\" title=\"Let us now take a quick look at the exercise solution section-\">Let us now take a quick look at the exercise solution section-<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#let-us-now-check-out-the-subtopic-and-exercise-solutions-that-this-chapter-includes\" title=\"Let us now check out the subtopic and exercise solutions that this chapter includes-\">Let us now check out the subtopic and exercise solutions that this chapter includes-<\/a><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#ncert-solutions-for-class-12-maths-chapter-10-101\" title=\"NCERT Solutions for Class 12 Maths Chapter 10: 10.1\">NCERT Solutions for Class 12 Maths Chapter 10: 10.1<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#ncert-solutions-for-class-12-maths-chapter-10-102\" title=\"NCERT Solutions for Class 12 Maths Chapter 10: 10.2\">NCERT Solutions for Class 12 Maths Chapter 10: 10.2<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#ncert-solutions-for-class-12-maths-chapter-10-103\" title=\"NCERT Solutions for Class 12 Maths Chapter 10: 10.3\">NCERT Solutions for Class 12 Maths Chapter 10: 10.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#ncert-solutions-for-class-12-maths-chapter-10-104\" title=\"NCERT Solutions for Class 12 Maths Chapter 10:10.4\">NCERT Solutions for Class 12 Maths Chapter 10:10.4<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#ncert-solutions-for-class-12-maths-chapter-10-miscellaneous\" title=\"NCERT Solutions for Class 12 Maths Chapter 10:Miscellaneous\">NCERT Solutions for Class 12 Maths Chapter 10:Miscellaneous<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-12\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#ncert-solutions-for-class-12-maths-chapter-10-terms-and-definitions\" title=\"NCERT Solutions for Class 12 Maths Chapter 10: Terms and Definitions\">NCERT Solutions for Class 12 Maths Chapter 10: Terms and Definitions<\/a><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><ul class='ez-toc-list-level-4'><li class='ez-toc-heading-level-4'><a class=\"ez-toc-link ez-toc-heading-13\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#types-of-vectors\" title=\"Types of Vectors~~\">Types of Vectors~~<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-14\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#also-access\" title=\"Also Access:\">Also Access:<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-15\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#benefits-of-ncert-solutions-for-class-12-maths-chapter-10\" title=\"Benefits of NCERT Solutions for Class 12 Maths Chapter 10\">Benefits of NCERT Solutions for Class 12 Maths Chapter 10<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-16\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#faqs-vectors-class-12-maths-ncert-solutions\" title=\"FAQs: Vectors Class 12 Maths NCERT Solutions\">FAQs: Vectors Class 12 Maths NCERT Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-17\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#how-many-questions-were-there-in-exercise-102-of-chapter-10-maths-class-12\" title=\"How many questions were there in exercise 10.2 of chapter 10 Maths class 12?\">How many questions were there in exercise 10.2 of chapter 10 Maths class 12?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-18\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#are-class-12-maths-ncert-solutions-ch-10-important-to-study\" title=\"Are Class 12 Maths NCERT solutions Ch 10 important to study?\">Are Class 12 Maths NCERT solutions Ch 10 important to study?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-19\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#can-i-receive-an-overview-of-the-ch-10-maths-class-12-solutions-exercises\" title=\"Can I receive an overview of the Ch 10 Maths Class 12 Solutions exercises?\">Can I receive an overview of the Ch 10 Maths Class 12 Solutions exercises?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-20\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#can-i-get-a-perfect-score-on-the-ncert-solutions-for-chapter-10-maths-class-12\" title=\"Can I get a perfect score on the NCERT Solutions for  Chapter 10 Maths Class 12?\">Can I get a perfect score on the NCERT Solutions for  Chapter 10 Maths Class 12?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-21\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#how-many-exercises-are-there-in-chapter-10-of-the-ncert-textbook-for-class-12-maths\" title=\"How many exercises are there in Chapter 10 of the NCERT textbook for Class 12 Maths?\">How many exercises are there in Chapter 10 of the NCERT textbook for Class 12 Maths?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-22\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#where-can-i-download-maths-chapter-10-class-12-ncert-solutions\" title=\"Where can I download Maths Chapter 10 Class 12 NCERT solutions?\">Where can I download Maths Chapter 10 Class 12 NCERT solutions?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-23\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/#are-ncert-solutions-for-class-12th-maths-chapter-10-sufficient-for-board-examinations-preparation\" title=\"Are NCERT Solutions for Class 12th Maths Chapter 10 sufficient for board examinations preparation?\">Are NCERT Solutions for Class 12th Maths Chapter 10 sufficient for board examinations preparation?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-ncert-solutions-for-class-12-maths-chapter-10-vector-algebra-pdf\"><\/span><strong>Download NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra PDF<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>It&#8217;s crucial to be prepared for the different <a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths\/\"><strong>Class 12 Maths<\/strong><\/a> problems that will be asked during the 12th board exam. Students gain trust in their ability to write better exams after completing various lessons and problem sets.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"access-vector-algebra-class-12-ncert-solutions-pdf\"><\/span><span style=\"color: #0000ff;\"><strong>Access Vector Algebra Class 12 NCERT Solutions PDF<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p><a href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-Class-12-Maths-Chapter-10-Vector-Algebra.pdf\">NCERT-Solutions-Class-12-Maths-Chapter-10-Vector-Algebra pdf<\/a><\/p>\n<p>&nbsp;<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">&nbsp;<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 500px;}<br \/>\n.pdfobject { border: 1px solid #666; }<br \/>\n<\/style><\/p>\n<p style=\"text-align: justify;\"><script src=\"https:\/\/www.kopykitab.com\/_utility\/js\/pdfobject.min.js\"><\/script><br><script>PDFObject.embed(\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/NCERT-Solutions-Class-12-Maths-Chapter-10-Vector-Algebra.pdf\", \"#example1\");<\/script><\/p>\n<p>These Vector Algebra Class 12 NCERT Solutions are also available for free download, allowing you to practice them offline.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"what-will-you-get-in-ncert-solutions-for-class-12-maths-chapter-10-%e2%80%93-vector-algebra\"><\/span><strong>What will you get in NCERT Solutions for Class 12 Maths Chapter 10 &#8211; Vector Algebra?<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The unit Vectors and Three-Dimensional Geometry includes the chapter Vector Algebra, which accounts for 14 of the total marks. This chapter includes <strong>four exercises<\/strong> as well as a <strong>miscellaneous exercise<\/strong> to help students grasp the concepts of vectors and vector algebra. The following are the topics covered in the tenth chapter of NCERT Solutions for Class 12 Maths:<\/p>\n<ol>\n<li>Vector position<\/li>\n<li>Direction cousins<\/li>\n<li>Zero vectors<\/li>\n<li>Unit vectors<\/li>\n<li>Coinitial vectors<\/li>\n<li>Collinear vectors<\/li>\n<li>Equal vectors<\/li>\n<li>Negative of a vector<\/li>\n<li>Properties of vector addition.<\/li>\n<\/ol>\n<h3><span class=\"ez-toc-section\" id=\"let-us-now-have-a-thorough-look-at-the-content-of-the-chapter\"><\/span><strong>Let us now have a thorough look at the content of the chapter-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table width=\"624\">\n<tbody>\n<tr>\n<td width=\"86\">\n<p>10.1<\/p>\n<\/td>\n<td width=\"538\">\n<p>Introduction<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.2<\/p>\n<\/td>\n<td width=\"538\">\n<p>Basic concepts<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.3<\/p>\n<\/td>\n<td width=\"538\">\n<p>Types of vectors<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.4<\/p>\n<\/td>\n<td width=\"538\">\n<p>Addition of vectors<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.5<\/p>\n<\/td>\n<td width=\"538\">\n<p>Multiplication of a vector<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.5.1<\/p>\n<\/td>\n<td width=\"538\">\n<p>Components of a vector<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.5.2<\/p>\n<\/td>\n<td width=\"538\">\n<p>Vector joining two points<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.5.3<\/p>\n<\/td>\n<td width=\"538\">\n<p>Section formula<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.6<\/p>\n<\/td>\n<td width=\"538\">\n<p>Product of Two Vectors<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.6.1<\/p>\n<\/td>\n<td width=\"538\">\n<p>Scalar (or dot) product of two vectors<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.6.2<\/p>\n<\/td>\n<td width=\"538\">\n<p>Projection of a vector on a line<\/p>\n<\/td>\n<\/tr>\n<tr>\n<td width=\"86\">\n<p>10.6.3<\/p>\n<\/td>\n<td width=\"538\">\n<p>Vector (or cross) product of two vectors<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h3><span class=\"ez-toc-section\" id=\"let-us-now-take-a-quick-look-at-the-exercise-solution-section\"><\/span><strong>Let us now take a quick look at the exercise solution section-<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<table style=\"width: 100%; height: 505px;\" width=\"624\">\n<tbody>\n<tr style=\"height: 101px;\">\n<td style=\"height: 101px;\" width=\"312\">\n<p>Exercise Solution 10.1<\/p>\n<\/td>\n<td style=\"height: 101px;\" width=\"312\">\n<p>5 Questions<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 101px;\">\n<td style=\"height: 101px;\" width=\"312\">\n<p>Exercise Solution 10.2<\/p>\n<\/td>\n<td style=\"height: 101px;\" width=\"312\">\n<p>19 Questions<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 101px;\">\n<td style=\"height: 101px;\" width=\"312\">\n<p>Exercise Solution 10.3<\/p>\n<\/td>\n<td style=\"height: 101px;\" width=\"312\">\n<p>18 Questions<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 101px;\">\n<td style=\"height: 101px;\" width=\"312\">\n<p>Exercise Solution 10.4<\/p>\n<\/td>\n<td style=\"height: 101px;\" width=\"312\">\n<p>12 Questions<\/p>\n<\/td>\n<\/tr>\n<tr style=\"height: 101px;\">\n<td style=\"height: 101px;\" width=\"312\">\n<p>Miscellaneous Exercise Solution<\/p>\n<\/td>\n<td style=\"height: 101px;\" width=\"312\">\n<p>19 Questions<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h4><span class=\"ez-toc-section\" id=\"let-us-now-check-out-the-subtopic-and-exercise-solutions-that-this-chapter-includes\"><\/span>Let us now check out the subtopic and exercise solutions that this chapter includes-<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-10-101\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 10: 10.1<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>This section introduces us to zero vector, unit vector, and collinear vector. This portion of the chapter talks about definitions of the mentioned terms, with proper examples to make the chapter easy and understandable. The sums which you will basically get to solve and practice from the section centers around differences in vectors which are represented through the graphical presentation.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-10-102\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 10: 10.2<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This segment of the chapter introduces you to the parallelogram law of vectors. NCERT Solutions for Class 12 Maths Chapter 10 covers every area which will help you learn the techniques to solve the sums. Make sure to practice the same for a concrete grasp on the topic.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-10-103\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 10: 10.3<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This section works teaching the students about finding the product of two vectors along with the vital process of estimating a vector in line. You will get a hand on the lesson to find out the value of the angle between two vectors.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-10-104\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 10:10.4<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This portion of the chapter covers the cross-products of vectors and teaches students how to find out the magnitude of the same. To build a clear understanding of the chapter make sure to learn the topic from 12th Class Maths chapter 10 NCERT solutions pdf, at the comfort of your home.<\/p>\n<h3><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-10-miscellaneous\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 10:Miscellaneous<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>This is the last section which covers all the questions and subjects corresponding to the topics you read till now. Going through the sums enlisted down in the miscellaneous section enables you to participate in a robust revision session. This is great for you to get ready-made revision papers that will ultimately help you with Maths finals preparation.&nbsp;<\/p>\n<h2><span class=\"ez-toc-section\" id=\"ncert-solutions-for-class-12-maths-chapter-10-terms-and-definitions\"><\/span><strong>NCERT Solutions for Class 12 Maths Chapter 10: Terms and Definitions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p><strong>Vector:<\/strong> Those quantities which have magnitude, as well as direction, are called vector quantities or vectors.<\/p>\n<ul>\n<li>Note: Those quantities which have only magnitude and no direction, are called scalar quantities.<\/li>\n<\/ul>\n<p><strong>Representation of Vector<\/strong>: A directed line segment has magnitude as well as direction, so it is called a vector.<\/p>\n<p><strong>Magnitude of a Vector:<\/strong> The length of the vector is called the magnitude of a vector.<\/p>\n<p><strong>Position vector:<\/strong> A straight line having one end fixed to a body and the other end attached to a moving point and used to describe the position of the point relative to the body is the position vector. As the point moves, the position vector will change in length or in direction or in both length and direction.<\/p>\n<p><img class=\"alignnone size-full wp-image-56328\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/form13.png\" alt=\"\" width=\"218\" height=\"42\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/form13.png 218w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/form13-30x6.png 30w\" sizes=\"(max-width: 218px) 100vw, 218px\"><\/p>\n<p><strong>Direction Cosines:<\/strong> If \u03b1, \u03b2 and \u03b3 are the angles which a directed line segment OP makes with the positive directions of the coordinate axes OX, OY and OZ respectively, then cos \u03b1, cos \u03b2 and cos \u03b3 are known as the direction cosines of OP and are generally denoted by the letters l, m and n respectively.<\/p>\n<p><img class=\"alignnone size-full wp-image-56326\" src=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/form14.png\" alt=\"\" width=\"154\" height=\"143\" srcset=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/form14.png 154w, https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2020\/10\/form14-30x28.png 30w\" sizes=\"(max-width: 154px) 100vw, 154px\"><\/p>\n<h4><span class=\"ez-toc-section\" id=\"types-of-vectors\"><\/span><strong>Types of Vectors~~<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p><strong>Null vector or zero vector:<\/strong> A vector, whose initial and terminal points coincide and magnitude is zero, is called a null vector.<\/p>\n<p><strong>Unit vector:<\/strong> A vector of unit length is called a unit vector<\/p>\n<p><strong>Collinear vectors:<\/strong> Two or more vectors are said to be collinear if they are parallel to the same line, irrespective of their magnitudes and directions.<\/p>\n<p><strong>Coinitial vectors:<\/strong> Two or more vectors having the same initial point are called coinitial vectors.<\/p>\n<p><strong>Equal vectors:<\/strong> Two vectors are said to be equal if they have equal magnitudes and the same direction regardless of the position of their initial points.<\/p>\n<p><strong>Negative vector:<\/strong> Vector having the same magnitude but opposite in direction of the given vector, is called the negative vector<\/p>\n<h3><span class=\"ez-toc-section\" id=\"also-access\"><\/span><em><strong>Also Access:<\/strong><\/em><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"content-box-orange\">\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-syllabus\/\"><strong>CBSE Class 12 Maths Syllabus<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-sample-papers\/\"><strong>CBSE Class 12 Maths Sample Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-previous-year-papers\/\"><strong>CBSE Class 12 Maths Previous year Papers<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rd-sharma-solutions\/\"><strong>CBSE Class 12 Maths RD Sharma Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-rs-aggarwal-solutions\/\"><strong>CBSE Class 12 Maths RS Aggarwal Solutions<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-revision-notes\/\"><strong>CBSE Class 12 Maths Revision Notes<\/strong><\/a><\/li>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/cbse-class-12-maths-formulas\/\"><strong>CBSE Class 12 Maths Formulas<\/strong><\/a><\/li>\n<\/ul>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"benefits-of-ncert-solutions-for-class-12-maths-chapter-10\"><\/span><strong>Benefits of NCERT Solutions for Class 12 Maths Chapter 10<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 12 Maths Chapter 10 is what you need right now for your chapter 10 exam preparation. So, here we are looking down on some of the proficient advantages which are the reasons for you to go for NCERT Solutions for Class 12 Maths Chapter 10. Let\u2019s begin-<\/p>\n<ol>\n<li>Assist students with their homework and competitive tests.<\/li>\n<li>Content is well-structured.<\/li>\n<li>Assist students in reinforcing their fundamental understanding of vector algebra.<\/li>\n<li>Subject expertise assisted in the preparation of these NCERT Solutions.<\/li>\n<\/ol>\n<p><strong>This is everything that you need for preparing&nbsp;<a href=\"https:\/\/cbse.nic.in\/\" target=\"_blank\" rel=\"noopener noreferrer nofollow\">CBSE<\/a> NCERT Solutions for 12th Maths Chapter 10. We wish you do great in your finals. Also, if you are facing any doubts regarding the same, make sure to comment down so that our professional may reach out to you.<\/strong><\/p>\n<h3><span class=\"ez-toc-section\" id=\"faqs-vectors-class-12-maths-ncert-solutions\"><\/span><strong>FAQs: Vectors Class 12 Maths NCERT Solutions<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>&nbsp;<\/p>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1621428054229\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-were-there-in-exercise-102-of-chapter-10-maths-class-12\"><\/span>How many questions were there in exercise 10.2 of chapter 10 Maths class 12?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are a total of 19 questions in exercise 10.2 of chapter 10 Maths class 12.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621428154750\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-class-12-maths-ncert-solutions-ch-10-important-to-study\"><\/span>Are Class 12 Maths NCERT solutions Ch 10 important to study?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. Chapter 10 Class 12 Maths is an important topic to study for 12th board preparation.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621428223286\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-receive-an-overview-of-the-ch-10-maths-class-12-solutions-exercises\"><\/span>Can I receive an overview of the Ch 10 Maths Class 12 Solutions exercises?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. You can receive an overview of the Ch 10 Maths Class 12 Solutions exercises from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621428253968\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"can-i-get-a-perfect-score-on-the-ncert-solutions-for-chapter-10-maths-class-12\"><\/span>Can I get a perfect score on the NCERT Solutions for  Chapter 10 Maths Class 12?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. KopyKitab\u2019s experts created the NCERT Solutions for Chapter 10 Maths Class 12 after performing extensive research on each term. It will help you to score 100 in Class 12 Maths.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621428334244\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-exercises-are-there-in-chapter-10-of-the-ncert-textbook-for-class-12-maths\"><\/span>How many exercises are there in Chapter 10 of the NCERT textbook for Class 12 Maths?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>In total, there are 4 exercises in Chapter 10 Class 12 Maths.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621428373874\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"where-can-i-download-maths-chapter-10-class-12-ncert-solutions\"><\/span>Where can I download Maths Chapter 10 Class 12 NCERT solutions?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can download NCERT Solutions for Class 12 Maths Chapter 10 from the above blog.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1621428406825\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"are-ncert-solutions-for-class-12th-maths-chapter-10-sufficient-for-board-examinations-preparation\"><\/span>Are NCERT Solutions for Class 12th Maths Chapter 10 sufficient for board examinations preparation?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>Yes. NCERT Solutions for Chapter 10 Class 12 Maths is sufficient for board examinations preparation.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions for Class 12 Maths Chapter 10:&nbsp;You can learn about the difference between a scalar and a vector quantity, their properties, vector operations, and more in the NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra. This topic is essential in assisting students in achieving excellent grades not only in the&nbsp;12th board exams &#8230; <a title=\"NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/\" aria-label=\"More on NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra\">Read more<\/a><\/p>\n","protected":false},"author":238,"featured_media":56962,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[2934,2917,73693,73413,2985,73410],"tags":[62019,73223,73225,3570,75043],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56319"}],"collection":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/users\/238"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=56319"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56319\/revisions"}],"predecessor-version":[{"id":90493,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/56319\/revisions\/90493"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/56962"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=56319"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=56319"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=56319"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}