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 - 3
Question 1:
The length of longer diagonal of the parallelogram constructed on 5a + 2b and a – 3b. If it is given that
|a| = 2√2, |b| = 3 and angle between a and b is π/4, is
(a) 15
(b) √113
(c) √593
(d) √369
Correct Answer – (C)
Question 2:
If a and b are two unit vectors inclined to x-axis at angles 30° and 120° respectively, then |a + b| equals
(a) √2/√3
(b) √2
(c) √3
(d) 2
Correct Answer – (D)
Question 3:
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
Correct Answer – (B)
Question 4:
The unit vector perpendicular to i^ – j^ and coplanar with i^ + 2j^ and 2i^ + 3j^ is
Correct Answer – (C)
Question 5:
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
Correct Answer – (D)
MCQ Questions Class 12 Vector Algebra With Answers
Question 6:
If the angle between i^ + k^ and i^ + j^ +ak^ is π/3, then the value of a is
(a) 0 or 2
(b) -4 or 0
(c) 0 or -3
(d) 2 or -2
Correct Answer – (B)
Question 7:
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
Correct Answer – (D)
Question 8:
If |a – b| = |a| = |b| = 1, then the angle between a and b is
(a) π3
(b) 3π4
(c) π2
(d) 0
Correct Answer – (A)
Question 9:
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
Correct Answer – (B)
Question 10:
The number of vectors of unit length perpendicular to the vectors a = 2i^ + j^ + 2k^ and b = j^ + k^ is
(a) one
(b) two
(c) three
(d) infinite
Correct Answer – (B)
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