{"id":19293,"date":"2022-06-03T10:30:36","date_gmt":"2022-06-03T05:00:36","guid":{"rendered":"https:\/\/mcq-questions.com\/?p=19293"},"modified":"2022-05-21T12:24:51","modified_gmt":"2022-05-21T06:54:51","slug":"mcq-questions-for-class-12-maths-chapter-10","status":"publish","type":"post","link":"https:\/\/mcq-questions.com\/mcq-questions-for-class-12-maths-chapter-10\/","title":{"rendered":"MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers"},"content":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers<\/a> during preparation and score maximum marks in the exam. Students can download the Vector Algebra Class 12 MCQs Questions with Answers from here and test their problem-solving skills. Clear all the fundamentals and prepare thoroughly for the exam taking help from Class 12 Maths Chapter 10 Vector Algebra Objective Questions.<\/p>\n

Vector Algebra Class 12 MCQs Questions with Answers<\/h2>\n

Students are advised to solve the Vector Algebra Multiple Choice Questions of Class 12 Maths to know different concepts. Practicing the MCQ Questions on Vector Algebra Class 12 with answers will boost your confidence thereby helping you score well in the exam.<\/p>\n

Explore numerous MCQ Questions of Vector Algebra Class 12 with answers provided with detailed solutions by looking below.<\/p>\n

Question 1.
\nIn \u0394ABC, which of the following is not true?
\n\"MCQ
\n(a) \\(\\vec { AB}\\) + \\(\\vec { BC}\\) + \\(\\vec { CA}\\) = \\(\\vec { 0}\\)
\n(b) \\(\\vec { AB}\\) + \\(\\vec { BC}\\) – \\(\\vec { AC}\\) = \\(\\vec { 0}\\)
\n(c) \\(\\vec { AB}\\) + \\(\\vec { BC}\\) – \\(\\vec { CA}\\) = \\(\\vec { 0}\\)
\n(d) \\(\\vec { AB}\\) – \\(\\vec { CB}\\) + \\(\\vec { CA}\\) = \\(\\vec { 0}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \\(\\vec { AB}\\) + \\(\\vec { BC}\\) – \\(\\vec { CA}\\) = \\(\\vec { 0}\\)<\/p>\n<\/details>\n

\n

Question 2.
\nIf \\(\\vec a\\) and \\(\\vec b\\) are two collinear vectors, then which of the following are incorrect:
\n(a) \\(\\vec b\\) = \u03bb\\(\\vec a\\) tor some scalar \u03bb.
\n(b) \\(\\vec a\\) = \u00b1\\(\\vec b\\)
\n(c) the respective components of \\(\\vec a\\) and \\(\\vec b\\) are proportional
\n(d) both the vectors \\(\\vec a\\) and \\(\\vec b\\) have the same direction, but different magnitudes.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) both the vectors \\(\\vec a\\) and \\(\\vec b\\) have the same direction, but different magnitudes.<\/p>\n<\/details>\n

\n

Question 3.
\nIf a is a non-zero vector of magnitude \u2018a\u2019 and \u03bba non-zero scalar, then \u03bb\\(\\vec a\\) is unit vector if:
\n(a) \u03bb = 1
\n(b) \u03bb = -1
\n(c) a = |\u03bb|
\n(d) a = \\(\\frac { 1 }{|\u03bb|}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) a = \\(\\frac { 1 }{|\u03bb|}\\)<\/p>\n<\/details>\n

\n

Question 4.
\nLet \u03bb be any non-zero scalar. Then for what possible values of x, y and z given below, the vectors 2\\(\\hat i\\) – 3\\(\\hat j\\) + 4\\(\\hat k\\) and x\\(\\hat i\\) – y\\(\\hat j\\) + z\\(\\hat k\\) are perpendicular:
\n(a) x = 2\u03bb. y = \u03bb, z = \u03bb
\n(b) x = \u03bb, y = 2\u03bb, z = -\u03bb
\n(c) x = -\u03bb, y = 2\u03bb, z = \u03bb
\n(d) x = -\u03bb, y = -2\u03bb, z = \u03bb.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) x = -\u03bb, y = 2\u03bb, z = \u03bb<\/p>\n<\/details>\n

\n

Question 5.
\nLet the vectors \\(\\vec a\\) and \\(\\vec b\\) be such that |\\(\\vec a\\)| = 3 and |\\(\\vec b\\)| = \\(\\frac { \u221a2 }{3}\\), then \\(\\vec a\\) \u00d7 \\(\\vec b\\) is a unit vector if the angle between \\(\\vec a\\) and \\(\\vec b\\) is:
\n(a) \\(\\frac { \u03c0 }{6}\\)
\n(b) \\(\\frac { \u03c0 }{4}\\)
\n(c) \\(\\frac { \u03c0 }{3}\\)
\n(d) \\(\\frac { \u03c0 }{2}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \\(\\frac { \u03c0 }{4}\\)<\/p>\n<\/details>\n

\n

Question 6.
\nArea of a rectangle having vertices
\nA(-\\(\\hat i\\) + \\(\\frac { 1 }{2}\\) \\(\\hat j\\) + 4\\(\\hat k\\)),
\nB(\\(\\hat i\\) + \\(\\frac { 1 }{2}\\) \\(\\hat j\\) + 4\\(\\hat k\\)),
\nC(\\(\\hat i\\) – \\(\\frac { 1 }{2}\\) \\(\\hat j\\) + 4\\(\\hat k\\)),
\nD(-\\(\\hat i\\) – \\(\\frac { 1 }{2}\\) \\(\\hat j\\) + 4\\(\\hat k\\)) is
\n(a) \\(\\frac { 1 }{2}\\) square unit
\n(b) 1 square unit
\n(c) 2 square units
\n(d) 4 square units.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 2 square units<\/p>\n<\/details>\n

\n

Question 7.
\nIf \u03b8 is the angle between two vectors \\(\\vec a\\), \\(\\vec b\\), then \\(\\vec a\\).\\(\\vec b\\) \u2265 0 only when
\n(a) 0 < \u03b8 < \\(\\frac { \u03c0 }{2}\\)
\n(b) 0 \u2264 \u03b8 \u2264 \\(\\frac { \u03c0 }{2}\\)
\n(c) 0 < \u03b8 < \u03c0
\n(d) 0 \u2264 \u03b8 \u2264 \u03c0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 0 \u2264 \u03b8 \u2264 \\(\\frac { \u03c0 }{2}\\)<\/p>\n<\/details>\n

\n

Question 8.
\nLet \\(\\vec a\\) and \\(\\vec b\\) be two unit vectors and 6 is the angle between them. Then \\(\\vec a\\) + \\(\\vec b\\) is a unit vector if:
\n(a) \u03b8 = \\(\\frac { \u03c0 }{4}\\)
\n(b) \u03b8 = \\(\\frac { \u03c0 }{3}\\)
\n(c) \u03b8 = \\(\\frac { \u03c0 }{2}\\)
\n(d) \u03b8 = \\(\\frac { 2\u03c0 }{3}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) \u03b8 = \\(\\frac { 2\u03c0 }{3}\\)<\/p>\n<\/details>\n

\n

Question 9.
\nIf {\\(\\hat i\\), \\(\\hat j\\), \\(\\hat k\\)} are the usual three perpendicular unit vectors, then the value of:
\n\\(\\hat i\\).(\\(\\hat j\\) \u00d7 \\(\\hat k\\)) + \\(\\hat j\\).(\\(\\hat i\\) \u00d7 \\(\\hat k\\)) + \\(\\hat k\\).(\\(\\hat i\\) \u00d7 \\(\\hat j\\)) is
\n(a) 0
\n(b) -1
\n(c) 1
\n(d) 3<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 3<\/p>\n<\/details>\n

\n

Question 10.
\nIf \u03b8 is the angle between two vectors \\(\\vec a\\) and \\(\\vec b\\), then |\\(\\vec a\\).\\(\\vec b\\)| = |\\(\\vec a\\) \u00d7 \\(\\vec b\\)| when \u03b8 is equal to:
\n(a) 0
\n(b) \\(\\frac { \u03c0 }{4}\\)
\n(c) \\(\\frac { \u03c0 }{2}\\)
\n(d) \u03c0<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \\(\\frac { \u03c0 }{4}\\)<\/p>\n<\/details>\n

\n

Question 11.
\nThe area of the triangle whose adjacent sides are
\n\\(\\vec a\\) = 3\\(\\hat i\\) + \\(\\hat j\\) + 4\\(\\hat k\\) and \\(\\vec b\\) = \\(\\hat i\\) – \\(\\hat j\\) + \\(\\hat k\\) is
\n(a) \\(\\frac { 1 }{2}\\) \\(\\sqrt{ 42 }\\)
\n(b) 42
\n(c) \\(\\sqrt{ 42 }\\)
\n(d) \\(\\sqrt{ 21 }\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \\(\\frac { 1 }{2}\\) \\(\\sqrt{ 42 }\\)<\/p>\n<\/details>\n

\n

Question 12.
\nThe magnitude of the vector 6\\(\\hat i\\) + 2\\(\\hat j\\) + 3\\(\\hat k\\) is
\n(a) 5
\n(b) 7
\n(c) 12
\n(d) 1.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) 7<\/p>\n<\/details>\n

\n

Question 13.
\nThe vector with initial point P (2, -3, 5) and terminal point Q (3, -4, 7) is
\n(a) \\(\\hat i\\) – \\(\\hat j\\) + 2\\(\\hat k\\)
\n(b) 5\\(\\hat i\\) – 7\\(\\hat j\\) + 12\\(\\hat k\\)
\n(c) –\\(\\hat i\\) + \\(\\hat j\\) – 2\\(\\hat k\\)
\n(d) None of these.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \\(\\hat i\\) – \\(\\hat j\\) + 2\\(\\hat k\\)<\/p>\n<\/details>\n

\n

Question 14.
\nThe angle between the vectors \\(\\hat i\\) – \\(\\hat j\\) and \\(\\hat j\\) – \\(\\hat k\\) is
\n(a) \\(\\frac { \u03c0 }{3}\\)
\n(b) \\(\\frac { 2\u03c0 }{3}\\)
\n(c) –\\(\\frac { \u03c0 }{3}\\)
\n(d) \\(\\frac { 5\u03c0 }{6}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \\(\\frac { 2\u03c0 }{3}\\)<\/p>\n<\/details>\n

\n

Question 15.
\nThe value of \u2018\u03bb\u2019 for which the two vectors:
\n2\\(\\hat i\\) – \\(\\hat j\\) + 2\\(\\hat k\\) and 3\\(\\hat i\\) + \u03bb\\(\\hat j\\) + \\(\\hat k\\) are perpendicular is
\n(a) 2
\n(b) 4
\n(c) 6
\n(d) 8.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (d) 8.<\/p>\n<\/details>\n

\n

Question 16.
\nIf |\\(\\vec a\\)| = 8, |\\(\\vec b\\)| = 3 and |\\(\\vec a\\) \u00d7 \\(\\vec b\\)|= 12, then value of \\(\\vec a\\).\\(\\vec b\\) is
\n(a) 6\u221a3
\n(b) 8\u221a3
\n(c) 12\u221a3
\n(d) None of these.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 12\u221a3<\/p>\n<\/details>\n

\n

Question 17.
\nThe non-zero vectors \\(\\vec a\\), \\(\\vec b\\) and \\(\\vec c\\) are related by \\(\\vec a\\) = 8\\(\\vec b\\) and \\(\\vec c\\) = -7\\(\\vec b\\). Then the angle between \\(\\vec a\\) and \\(\\vec c\\) is
\n(a) \u03c0
\n(b) 0
\n(c) \\(\\frac { \u03c0 }{4}\\)
\n(d) \\(\\frac { \u03c0 }{2}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) \u03c0
\nHint:
\n\\(\\vec a\\) = 8\\(\\vec b\\) and \\(\\vec c\\) = -7\\(\\vec b\\)
\nClearly \\(\\vec a\\) and \\(\\vec b\\) are parallel and \\(\\vec b\\) and \\(\\vec c\\) are anti-parallel.
\n\u2234 \\(\\vec a\\) and \\(\\vec c\\) are anti-parallel.
\nHence, angle between \\(\\vec a\\) and \\(\\vec c\\) is \u03c0.<\/p>\n<\/details>\n

\n

Question 18.
\nIf the vectors \\(\\vec a\\) = \\(\\hat i\\) – \\(\\hat j\\) + 2\\(\\hat k\\), \\(\\vec b\\) = 2\\(\\hat i\\) + 4\\(\\hat j\\) + \\(\\hat k\\) and \\(\\vec c\\) = \u03bb\\(\\hat i\\) + \\(\\hat j\\) + \u00b5\\(\\hat k\\) are mutually orthogonal, then (\u03bb, \u00b5) =
\n(a) (-3, 2)
\n(b) (2, -3)
\n(c) (-2, 3)
\n(d)(3, -2).<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (a) (-3, 2)
\nHint:
\n\\(\\vec a\\), \\(\\vec b\\) and \\(\\vec c\\) are mutually orthogonal
\n\u21d2 \\(\\vec b\\).\\(\\vec c\\) = 0 and \\(\\vec a\\).\\(\\vec c\\) = 0
\n\u21d2 (2\\(\\hat i\\) + 4\\(\\hat j\\) + \\(\\hat k\\)). (\u03bb\\(\\hat i\\) + \\(\\hat j\\) + \u00b5\\(\\hat i\\)) = 0
\n\u21d2 2\u03bb + 4 + \u00b5 = 0
\n\u21d2 2\u03bb + \u00b5 = -4 …………(1)
\nand (\\(\\hat i\\) – \\(\\hat j\\) + 2\\(\\hat k\\)).(\u03bb\\(\\hat i\\) + \\(\\hat j\\) + \u00b5\\(\\hat k\\)) = 0
\n\u21d2 \u03bb – 1 + 2\u00b5 = 0
\n\u21d2 \u03bb + 2\u00b5 = 1 ………….. (2)
\nSolving (1) and (2),
\n\u03bb = -3 and \u00b5 = 2.<\/p>\n<\/details>\n

\n

Question 19.
\nIf (2\\(\\hat i\\) + 6\\(\\hat j\\) + 27\\(\\hat k\\)) \u00d7 (\\(\\hat i\\) + p\\(\\hat j\\) + q\\(\\hat k\\)) = \\(\\vec 0\\), then the values ofp and q are?
\n(a) p = 6, q = 27
\n(b) p = 3, q = \\(\\frac { 27 }{2}\\)
\n(c) p = 6, q = \\(\\frac { 27 }{2}\\)
\n(d) p = 3, q = 27.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) p = 3, q = \\(\\frac { 27 }{2}\\)
\nHint:
\n(2\\(\\hat i\\) + 6\\(\\hat j\\) + 27\\(\\hat k\\)) \u00d7 (\\(\\hat i\\) + p\\(\\hat j\\) + q\\(\\hat k\\))
\n\\(\\left[\\begin{array}{ccc}
\n\\hat{i} & \\hat{j} & \\hat{k} \\\\
\n2 & 6 & 27 \\\\
\n1 & p & q
\n\\end{array}\\right]\\)
\nBy the question,
\n\\(\\hat i\\) (6q – 27p) –\\(\\hat j\\) (2q – 27) +\\(\\hat k\\) (2p – 6) = \\(\\vec 0\\)
\n\u21d2 6q – 27p = 0 \u21d2 2q – 9p = 0
\n2q – 27 = 0 \u21d2 q = \\(\\frac { 27 }{2}\\)
\nand 2p – 6 = 0 \u21d2 p = 3.
\nHence, p = 3 and q = \\(\\frac { 27 }{2}\\).<\/p>\n<\/details>\n

\n

Question 20.
\nIf the vectors \\(\\bar { AB }\\) = 3\\(\\hat i\\) + 4\\(\\hat k\\) and \\(\\bar { AC }\\) = 5\\(\\hat i\\) – 2\\(\\hat j\\) + 4\\(\\hat k\\) are the sides ofa triangle ABC, then the length of the median through A is
\n(a) \\(\\sqrt {72}\\)
\n(b) \\(\\sqrt {33}\\)
\n(c) \\(\\sqrt {45}\\)
\n(d) \\(\\sqrt {18}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (b) \\(\\sqrt {33}\\)
\nHint:
\n\"MCQ<\/p>\n<\/details>\n

\n

Question 21.
\nIf [\\(\\vec a\\) \u00d7 \\(\\vec b\\) \\(\\vec b\\) \u00d7 \\(\\vec c\\) \\(\\vec c\\) \u00d7 \\(\\vec a\\)] = \u03bb [\\(\\vec a\\) \\(\\vec b\\) \\(\\vec c\\)]\u00b2, then \u03bb is equal to
\n(a) 3
\n(b) 0
\n(c) 1
\n(d) 2.<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) 1
\nHint:
\nAs usual, we will have:
\n[\\(\\vec a\\) \u00d7 \\(\\vec b\\) \\(\\vec b\\) \u00d7 \\(\\vec c\\) \\(\\vec c\\) \u00d7 \\(\\vec a\\)] = [\\(\\vec a\\) \\(\\vec b\\) \\(\\vec c\\)]\u00b2
\nGiven:
\n[\\(\\vec a\\) \u00d7 \\(\\vec b\\) \\(\\vec b\\) \u00d7 \\(\\vec c\\) \\(\\vec c\\) \u00d7 \\(\\vec a\\)] = [\\(\\vec a\\) \\(\\vec b\\) \\(\\vec c\\)]\u00b2
\nHence, \u03bb = 1.<\/p>\n<\/details>\n

\n

Question 22.
\nLet \\(\\vec a\\), \\(\\vec b\\) and \\(\\vec c\\) be three unit vectors such that:
\n\\(\\vec a\\) \u00d7 (\\(\\vec b\\) \u00d7 \\(\\vec c\\)) = \\(\\frac { \u221a3 }{2}\\) (\\(\\vec b\\) + \\(\\vec c\\))
\nIf \\(\\vec b\\) is not parallel to \\(\\vec c\\), then the angle between \\(\\vec a\\) and \\(\\vec b\\) is:
\n(a) \\(\\frac { \u03c0 }{2}\\)
\n(b) \\(\\frac { 2\u03c0 }{3}\\)
\n(c) \\(\\frac { 5\u03c0 }{6}\\)
\n(d) \\(\\frac { 3\u03c0 }{4}\\)<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: (c) \\(\\frac { 5\u03c0 }{6}\\)
\nHint:
\n\"MCQ<\/p>\n<\/details>\n

\n

Fill in the blanks<\/span><\/p>\n

Question 1.
\nThe magnitude of projection of (2\\(\\hat i\\) – \\(\\hat j\\) + \\(\\hat k\\))
\non (\\(\\hat i\\) – 2\\(\\hat j\\) + 2\\(\\hat k\\)) is ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 2 units.<\/p>\n<\/details>\n

\n

Question 2.
\nVector of magnitude 5 units and in the direction opposite to 2\\(\\hat i\\) + 3\\(\\hat j\\) – 6\\(\\hat k\\) is ……………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: \\(\\frac { 5 }{7}\\) (-2\\(\\hat i\\) – 3\\(\\hat j\\) + 6\\(\\hat k\\))<\/p>\n<\/details>\n

\n

Question 3.
\nThe sum of the vectors
\n\\(\\vec a\\) = \\(\\hat i\\) – 2\\(\\hat j\\) + \\(\\hat k\\), \\(\\vec b\\) = -2\\(\\hat i\\) + 4\\(\\hat j\\) + 5\\(\\hat k\\) and \\(\\vec c\\) = \\(\\hat i\\) – 6\\(\\hat j\\) – 7\\(\\hat k\\) is ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: -4\\(\\hat i\\) – \\(\\hat k\\)<\/p>\n<\/details>\n

\n

Question 4.
\nThe value of \u2018a\u2019 when the vectors:
\n2\\(\\hat i\\) – 3\\(\\hat j\\) + 4\\(\\hat k\\) and a\\(\\hat i\\) + b\\(\\hat j\\) – 8\\(\\hat k\\) are collinear is ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: -4<\/p>\n<\/details>\n

\n

Question 5.
\nIf \\(\\vec a\\) = 2\\(\\hat i\\) + \\(\\hat j\\) – 2\\(\\hat k\\), then |\\(\\vec a\\)| = ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 3.<\/p>\n<\/details>\n

\n

Question 6.
\nIf \\(\\vec a\\) is a unit vector and (\\(\\vec x\\) – \\(\\vec a\\)).(\\(\\vec x\\) + \\(\\vec a\\)) = 8, then |\\(\\vec x\\)| = …………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 3.<\/p>\n<\/details>\n

\n

Question 7.
\n(\\(\\hat i\\) \u00d7 \\(\\hat j\\)).\\(\\hat k\\) + \\(\\hat i\\).\\(\\hat j\\) = ……………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 1.<\/p>\n<\/details>\n

\n

Question 8.
\nThe value of \u2018\u03bb\u2019 of (2\\(\\hat i\\) + 6\\(\\hat j\\) + 14\\(\\hat k\\)) \u00d7 (\\(\\hat i\\) – \u03bb\\(\\hat j\\) + 7\\(\\hat k\\)) = \\(\\vec 0\\) is ……………….<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: -3<\/p>\n<\/details>\n

\n

Question 9.
\nIf any two vectors \\(\\vec a\\), \\(\\vec b\\), \\(\\vec c\\) are parallel, then [\\(\\vec a\\). \\(\\vec b\\). \\(\\vec c\\)] = …………………<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: 0.<\/p>\n<\/details>\n

\n

Question 10.
\nThe value of \u2018\u03bb\u2019 such that the vectors:
\n3\\(\\hat i\\) + \\(\\hat j\\) + 5\\(\\hat k\\), \\(\\hat i\\) + 2\\(\\hat j\\) – 3\\(\\hat k\\) and 2\\(\\hat i\\) – \\(\\hat j\\) + \\(\\hat k\\) are coplanar is ………………..<\/p>\n

\nAnswer<\/span><\/summary>\n

Answer: -4.<\/p>\n<\/details>\n

\n

We believe the knowledge shared regarding NCERT MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers Pdf free download has been useful to the possible extent. If you have any other queries regarding CBSE Class 12 Maths Vector Algebra MCQs Multiple Choice Questions with Answers, feel free to reach us via the comment section and we will guide you with the possible solution.<\/p>\n","protected":false},"excerpt":{"rendered":"

Students can access the NCERT MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers Pdf free download aids in your exam preparation and you can get a good hold of the chapter. Use MCQ Questions for Class 12 Maths with Answers during preparation and score maximum marks in the exam. Students can …<\/p>\n

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