CBSE Class 12 Vector Algebra Multiple Choice Questions with Answers. MCQ Questions Class 12 Vector Algebra with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Vector Algebra with Answers to know their preparation level.
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MCQ Questions Class 12 Vector Algebra with Answers - Set - 4
Question 1:
The vector i^ + xj^ + 3k^ is rotated through an angle θ and doubled in magnitude, then it becomes 4i^ + (4x−2)j^ + 2k^ . The value of x is
(a) {−2/3,2}
(b) {1/3,2}
(c) {2/3,0}
(d) {2, 7}
Correct Answer – (A)
Question 2:
If a→ = i^ + j^ + k^, b→ = 4i^ + 3j^ + 4k^ and c→ = i^ + αj^ + βk^ are linearly dependent vectored and |c| = √3, then
(a) α = 1, β = -1
(b) α = 1, β = ±1
(c) α = -1, β = ±1
(d) α = ±1, β = 1
Correct Answer – (D)
Question 3:
The unit vector in the direction of the sum of vectors i^ + j^ + k^ and 2i^ + 3j^ + 4k^ is
(a) (1/5√2) (3i^ + 4j^ + 5k^)
(b) (1/5√2) (3i^ – 4j^ – 5k^)
(c) (1/2√2) (3i^ + 4j^ + 5k^)
(d) (1/3√2) (-3i^ + 4j^ + 5k^)
Correct Answer – (A)
Question 4:
Study the given parallelogram and answer the question given below.
Which of the following represents collinear but not equal vectors?
(a) a, c
(b) b, d
(c) b, m
(d) Both (a) and (b)
Correct Answer – (A)
Question 5:
(a) √157
(b) 4√11
(c) √213
(d) 9√3
Correct Answer – (A)
MCQ Questions Class 12 Vector Algebra With Answers
Question 6:
The vectors a = xi^ − 2j^ + 5k^ and b = i^ + yj^ − zk^ are collinear, if
(a) x =1, y = -2, z = -5
(b) x= 1.2, y = -4, z = -10
(c) x = -1/2, y = 4, z = 10
(d) All of these
Correct Answer – (D)
Question 7:
The vectors 3i^ + 5j^ + 2k^, 2i^ −3j^ −5k^ and 5i^ + 2j^ − 3k^ form the sides of
(a) Isosceles triangle
(b) Right triangle
(c) Scalene triangle
(d) Equilateral triangle
Correct Answer – (D)
Question 8:
Study the given parallelogram and answer the question given below.
Which of the following represents coinitial vector?
(a) c, d
(b) m, b
(c) b, d
(d) Both (a) and (b)
Correct Answer – (D)
Question 9:
Study the given parallelogram and answer the question given below.
Which of the following represents equal vectors?
(a) a, c
(b) b, d
(c) b, c
(d) m, d
Correct Answer – (B)
Question 10:
if (1/2, 1/3, n) are the direction cosines of a line, then the value of n is
(a) √23/6
(b) 23/6
(c) 2/3
(d) 3/2
Correct Answer – (A)
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