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 - 2
Question 1:
Let a→ and b→ are unit vectors enclosing an angle θ and |a→ + b→ | <1, then
(a) θ = π/2
(b) θ < π/3
(c) π ≥ θ > 2π/3
(d) π/3 < θ < 2π/3
Correct Answer – (C)
Question 2:
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
Correct Answer – (C)
Question 3:
The vectors from origin to the points A and B are a = 2i^ − 3j^ + 2k^ and b = 2i^ + 3j^ + k^, respectively then the area of triangle OAB is
(a) 340
(b) √25
(c) √229
(d) 1/2 √229
Correct Answer – (D)
Question 4:
Let a→ = i^ + j^ – k^, b→ = i^ – j^ + k^ and c→ be a unit vector perpendicular to a→ and coplanar with a→ and b→ the c→ is
Correct Answer – (D)
Question 5:
The vectors AB = 3i^ + 4k^ and AC= 5i^ − 2j^ + 4k^ are the side of a ΔABC. The length of the median through A is
(a) √18
(b) √72
(c) √33
(d) √288
Correct Answer – (C)
MCQ Questions Class 12 Vector Algebra With Answers
Question 6:
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]
Correct Answer – (A)
Question 7:
The vectors λi^ + j^ + 2k^, i^ + λj^ − k^ and 2i^ − j^ + λk^ are coplanar if
(a) λ = -2
(b) λ = 0
(c) λ = 1
(d) λ = -1
Correct Answer – (A)
Question 8:
The value of λ for which the vectors 3i^ −6j^ + k^ and 2i^ −4j^ + λk^ are parallel is
(a) 2/3
(b) 3/2
(c) 5/2
(d) 2/5
Correct Answer – (A)
Question 9:
The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is
(a) √3
(b) 1 – √3
(c) 1 + √3
(d) -√3
Correct Answer – (A)
Question 10:
If O is origin and C is the mid point of A(2, -1) and B(-4, 3), then the value of OC is (a) i^ + j^ (b) i^ − j^ (c) −i^ + j^ (d) −i^ − j^
Correct Answer – (C)
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