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NCERT Solutions for class 12 Maths | Chapter 10 - Vector Algebra

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Free download in PDF Class 12 Maths Chapter 10 Vector Algebra Multiple Choice Questions and Answers for Board, JEE, NEET, AIIMS, JIPMER, IIT-JEE, AIEE and other competitive exams. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. These short solved questions or quizzes are provided by Gkseries. These will help the students for preparation of their examination./p>

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(1) The distance of the point (- 3, 4, 5) from the origin
[A] 50
[B] 5√2
[C] 6
[D] None of these
Answer: 5√2
(2) If are coplanar then P =
[A] 6
[B] -6
[C] 2
[D] -2
Answer: 6

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(3) If |a + b| = |a – b|, then angle between a and b is (a ≠ 0, b ≠ 0)
[A] π/3
[B] π/6
[C] π/4
[D] π/2
Answer: π/2
(4) a, b, c are three vectors, such that a + b + c = 0, |a|= 1, |b|= 2, |c|= 3, then a.b + b.c + c is equal to
[A] 0
[B] -7
[C] 7
[D] 1
Answer: -7
(5) If |a – b| = |a| = |b| = 1, then the angle between a and b is
[A] π/3
[B] 3π/4
[C] π/2
[D] 0
Answer: π/3
(6) If |a| = |b| = 1 and |a + b| = √3, then the value of (3a – 4b).(2a + 5b) is
[A] -21
[B] −21/2
[C] 21
[D] 21/2
Answer: −21/2
(7) Let a, b and c be vectors with magnitudes 3, 4 and 5 respectively and a + b + c = 0, then the values of a.b + b.c + c.a is
[A] 47
[B] 25
[C] 50
[D] -25
Answer: -25
(8) The number of vectors of unit length perpendicular to the vectors a = and
[A] one
[B] two
[C] 4
[D] infinite
Answer: two
(9) If |a| = 4 and -3 ≤ λ ≤ 2, then the range of |λa| is
[A] [0, 8]
[B] [-12, 8]
[C] [0, 12]
[D] [8, 12]
Answer: [8, 12]
(10) If a, b, c are unit vectors such that a + b + c = 0, then the value of a.b + b.c + c.a is
[A] 1
[B] 3
[C] −3/2
[D] None of these
Answer: −3/2
(11) The vectors are coplanar if
[A] λ = -2
[B] λ = 0
[C] λ = 1
[D] λ = -1
Answer: λ = -2
(12) The vectors from origin to the points A and B are a = and b = respectively then the area of triangle OAB is
[A] 340
[B] √25
[C] √229
[D] 1/2 √229
Answer: 1/2 √229
(13) The vectors are the side of a ΔABC. The length of the median through A is
[A] √18
[B] √72
[C] √33
[D] √288
Answer: √33
(14) If |a|= 5, |b|= 13 and |a × b|= 25, find a.b
[A] ±10
[B] ±40
[C] ±60
[D] ±25
Answer: ±60
(15) If |a × b| = 4 and |a.b| = 2, then |a|2 |b|2 is equal to
[A] 2
[B] 6
[C] 8
[D] 20
Answer: 20
(16) |a × b|2 + |a.b|2 = 144 and |a| = 4, then |b| is equal to
[A] 12
[B] 3
[C] 8
[D] 4
Answer: 3
(17) If AB × AC = then the are of ΔABC is
[A] 3 sq. units
[B] 4 sq. units
[C] 16 sq. units
[D] 9 sq. units
Answer: 3 sq. units
(18) If
[A] 0
[B] -1
[C] 1
[D] 2
Answer: -1
(19) If
[A] 5
[B] 10
[C] 14
[D] 16
Answer: 16
(20) The scalar product of
[A] 10
[B] -10
[C] 15
[D] -15
Answer: -10

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