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Class 12 Mathematics - Chapter 10: Vector Algebra MCQ Questions

22 Questions 44 Minutes
Answered: 0 / 22Unanswered: 22

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Question 1

If θ is the angle between two vectors (vec a), (vec b), then (vec a).(vec b) ≥ 0 only when

Question 2

Let λ 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:

Question 3

The magnitude of the vector 6(hat i) + 2(hat j) + 3(hat k) is

Question 4

If (2(hat i) + 6(hat j) + 27(hat k)) × ((hat i) + p(hat j) + q(hat k)) = (vec 0), then the values ofp and q are?

Question 5

If the vectors (vec a) = (hat i) – (hat j) + 2(hat k), (vec b) = 2(hat i) + 4(hat j) + (hat k) and (vec c) = λ(hat i) + (hat j) + µ(hat k) are mutually orthogonal, then (λ, µ) =

Question 6

The angle between the vectors (hat i) – (hat j) and (hat j) – (hat k) is

Question 7

2(hat i) – (hat j) + 2(hat k) and 3(hat i) + λ(hat j) + (hat k) are perpendicular is

Question 8

If θ is the angle between two vectors (vec a) and (vec b), then |(vec a).(vec b)| = |(vec a) × (vec b)| when θ is equal to:

Question 9

(hat i).((hat j) × (hat k)) + (hat j).((hat i) × (hat k)) + (hat k).((hat i) × (hat j)) is

Question 10

Let (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:

Question 11

D(-(hat i) – (frac { 1 }{2}) (hat j) + 4(hat k)) is

Question 12

The 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

Question 13

If (vec b) is not parallel to (vec c), then the angle between (vec a) and (vec b) is:

Question 14

If [(vec a) × (vec b) (vec b) × (vec c) (vec c) × (vec a)] = λ [(vec a) (vec b) (vec c)]², then λ is equal to

Question 15

The vector with initial point P (2, -3, 5) and terminal point Q (3, -4, 7) is

Question 16

If (vec a) and (vec b) are two collinear vectors, then which of the following are incorrect:

Question 17

(vec a) = 3(hat i) + (hat j) + 4(hat k) and (vec b) = (hat i) – (hat j) + (hat k) is

Question 18

If 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

Question 19

If a is a non-zero vector of magnitude ‘a’ and λa non-zero scalar, then λ(vec a) is unit vector if:

Question 20

If |(vec a)| = 8, |(vec b)| = 3 and |(vec a) × (vec b)|= 12, then value of (vec a).(vec b) is

Question 21

Let the vectors (vec a) and (vec b) be such that |(vec a)| = 3 and |(vec b)| = (frac { √2 }{3}), then (vec a) × (vec b) is a unit vector if the angle between (vec a) and (vec b) is:

Question 22

MCQ Questions for Class 12 Maths Chapter 10 Vector Algebra with Answers 1

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