{"id":92980,"date":"2021-06-03T18:20:49","date_gmt":"2021-06-03T12:50:49","guid":{"rendered":"https:\/\/www.kopykitab.com\/blog\/?p=92980"},"modified":"2021-06-03T18:20:54","modified_gmt":"2021-06-03T12:50:54","slug":"ncert-solutions-class-12-maths-chapter-10-exercise-10-3","status":"publish","type":"post","link":"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/","title":{"rendered":"NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3"},"content":{"rendered":"\n<p>NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3 is based on the product of two vectors. This Exercise is prepared by the expert teachers as per the NCERT books guidelines. With the help of these solutions, you can easily understand the Pattern of the questions that can be asked in the exam in the exam. Also, this will helps you to understand the marks&#8217; weightage of the chapter.<\/p>\n<ul>\n<li><a href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-for-class-12-maths-chapter-10-vector-algebra\/\"><strong>NCERT Solutions for Class 12 Maths Chapter 10 Vector Algebra<\/strong><\/a><\/li>\n<\/ul>\n<p>Here you can easily download the free PDF for the NCERT <a href=\"https:\/\/www.kopykitab.com\/Class-12-Maths\" target=\"_blank\" rel=\"noopener\">Class 12 Maths<\/a> Chapter 10 Exercise 10.3<\/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-69d8562fbf2a3\" 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-69d8562fbf2a3\"><\/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-class-12-maths-chapter-10-exercise-10-3\/#download-free-pdf-ncert-solutions-class-12-maths-chapter-10-exercise-103\" title=\"Download Free PDF NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3\">Download Free PDF NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/#details-for-the-topics-included-in-the-ncert-solutions-class-12-maths-chapter-10-exercise-103\" title=\"Details for the Topics included in the NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3\">Details for the Topics included in the NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3<\/a><\/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-class-12-maths-chapter-10-exercise-10-3\/#access-other-exercise-of-class-12-maths-chapter-10\" title=\"Access Other Exercise of Class 12 Maths Chapter 10\">Access Other Exercise of 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-4\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/#faq-ncert-solutions-class-12-maths-chapter-10-exercise-103\" title=\"FAQ: NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3\">FAQ: NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3<\/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-class-12-maths-chapter-10-exercise-10-3\/#how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-10-exercise-103\" title=\"How many questions are there in NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3?\">How many questions are there in NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/#what-is-a-position-vector\" title=\"What is a position vector?\">What is a position vector?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/#what-is-the-angle-between-two-vectors\" title=\"What is the angle between two vectors?\">What is the angle between two vectors?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/#what-is-the-vector-sum-of-two-vectors\" title=\"What is the vector sum of two vectors?\">What is the vector sum of two vectors?<\/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-class-12-maths-chapter-10-exercise-10-3\/#how-can-the-resultant-of-two-vectors-be-found\" title=\"How can the resultant of two vectors be found?\">How can the resultant of two vectors be found?<\/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-class-12-maths-chapter-10-exercise-10-3\/#what-do-vectors-do\" title=\"What do vectors do?\">What do vectors do?<\/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-class-12-maths-chapter-10-exercise-10-3\/#which-quantity-in-vector-has-the-only-magnitude\" title=\"Which quantity in vector has the only magnitude?\">Which quantity in vector has the only magnitude?<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2><span class=\"ez-toc-section\" id=\"download-free-pdf-ncert-solutions-class-12-maths-chapter-10-exercise-103\"><\/span>Download Free PDF NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions for Class 12 Maths Chapter 10 Exercise 10.3 PDF: <a style=\"width: auto; padding: 18px; cursor: pointer; font-weight: bold; border-radius: 40px; color: #ffffff; background: #ff4500;\" href=\"https:\/\/www.kopykitab.com\/blog\/wp-content\/uploads\/2021\/06\/10.3.pdf\" target=\"_blank\" rel=\"noopener\">Click Here<\/a><\/p>\n<p>\u00a0<\/p>\n<div id=\"example1\" style=\"text-align: justify;\">\u00a0<\/div>\n<p style=\"text-align: justify;\"><style>\n.pdfobject-container { height: 800px;}<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\/2021\/06\/10.3.pdf\", \"#example1\");<\/script><\/p>\n<h2><span class=\"ez-toc-section\" id=\"details-for-the-topics-included-in-the-ncert-solutions-class-12-maths-chapter-10-exercise-103\"><\/span>Details for the Topics included in the NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>This <a href=\"https:\/\/ncert.nic.in\/\" target=\"_blank\" rel=\"noopener\">NCERT<\/a> Exercise includes the product of the vector in this way:<\/p>\n<ul>\n<li>Scalar or dot Product of two vectors. This result of a Scalar product of two vectors is a scalar quantity. Two vectors with a magnitude not equal to zero are perpendicular if and only if their scalar product is equal to zero.<\/li>\n<li>If a vector makes an angle theta with a given directed line L, in the anticlockwise direction, then the projection of vec{AB} on L is a vector with magnitude theta. It is called the projection vector in line.<\/li>\n<\/ul>\n<p>However, solving the problems of this Exercise will help the students in understanding these concepts of Vectors in a better way.<\/p>\n<h2><span class=\"ez-toc-section\" id=\"access-other-exercise-of-class-12-maths-chapter-10\"><\/span>Access Other Exercise of Class 12 Maths Chapter 10<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>Chapter 10: Exercise 10.1<\/p>\n<p>Chapter 10: Exercise 10.2<\/p>\n<p>Chapter 10: Exercise 10.4<\/p>\n<h3><span class=\"ez-toc-section\" id=\"faq-ncert-solutions-class-12-maths-chapter-10-exercise-103\"><\/span>FAQ: NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n<div id=\"rank-math-faq\" class=\"rank-math-block\">\n<div class=\"rank-math-list \">\n<div id=\"faq-question-1622462999959\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-many-questions-are-there-in-ncert-solutions-class-12-maths-chapter-10-exercise-103\"><\/span>How many questions are there in NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>There are 18 questions in Chapter 10 Exercise 10.3.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622463017111\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-a-position-vector\"><\/span>What is a position vector?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>A position vector represents the position of a point P in space about an arbitrary reference origin O. It is usually denoted by x, r, or s.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622463018028\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-angle-between-two-vectors\"><\/span>What is the angle between two vectors?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The angle between the two vectors is the shortest angle at which any of the two vectors is rotated about the other vector such that both of the vectors have the same direction.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622463018829\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-is-the-vector-sum-of-two-vectors\"><\/span>What is the vector sum of two vectors?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>The sum of two or more vectors is called the resultant.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622463045901\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"how-can-the-resultant-of-two-vectors-be-found\"><\/span>How can the resultant of two vectors be found?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>You can found the resultant of two vectors using either the parallelogram method or the triangle method.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622463062260\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"what-do-vectors-do\"><\/span>What do vectors do?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>A vector describes a movement from one point to another.<\/p>\n\n<\/div>\n<\/div>\n<div id=\"faq-question-1622463071931\" class=\"rank-math-list-item\">\n<h3 class=\"rank-math-question \"><span class=\"ez-toc-section\" id=\"which-quantity-in-vector-has-the-only-magnitude\"><\/span>Which quantity in vector has the only magnitude?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<div class=\"rank-math-answer \">\n\n<p>A Scalar quantity has only magnitude.<\/p>\n\n<\/div>\n<\/div>\n<\/div>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3 is based on the product of two vectors. This Exercise is prepared by the expert teachers as per the NCERT books guidelines. With the help of these solutions, you can easily understand the Pattern of the questions that can be asked in the exam in the &#8230; <a title=\"NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3\" class=\"read-more\" href=\"https:\/\/www.kopykitab.com\/blog\/ncert-solutions-class-12-maths-chapter-10-exercise-10-3\/\" aria-label=\"More on NCERT Solutions Class 12 Maths Chapter 10 Exercise 10.3\">Read more<\/a><\/p>\n","protected":false},"author":244,"featured_media":93774,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"","fifu_image_alt":""},"categories":[73413,2917,73693,73712,2985],"tags":[75451,75450,75449],"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92980"}],"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\/244"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/comments?post=92980"}],"version-history":[{"count":4,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92980\/revisions"}],"predecessor-version":[{"id":93773,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/posts\/92980\/revisions\/93773"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media\/93774"}],"wp:attachment":[{"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/media?parent=92980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/categories?post=92980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kopykitab.com\/blog\/wp-json\/wp\/v2\/tags?post=92980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}