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 - 5
Question 1:
If a, b, c are unit vectors, then |a – b| + |b – c| + |c – a| does not exceed
(a) 4
(b) 9
(c) 8
(d) 6
Correct Answer – (B)
Question 2:
The value of λ, for which the four points 2i^ + 3j^ – k^, i^ + 2j^ + 3k^, 3i^ + 4j^ – 2k^, i^ – λj^ + 6k^ are coplanar, is
(a) -2
(b) 8
(c) 6
(d) 0
Correct Answer – (A)
Question 3:
If the vectors 2i^ − 3j^, i^ + j^ − k^ and 3i^ − k^ form three concurrent edges of a parallelopiped, then the volume of the parallelopiped is
(a) 8
(b) 10
(c) 4
(d) 14
Correct Answer – (C)
Question 4:
If u, v and w are three non-coplanar vectors, then (u + v – w).[(u – v) × (v – w)] equals
(a) 0
(b) u. v × w
(c) u. w × v
(d) 3u. v × w
Correct Answer – (B)
Question 5:
5If a is perpendicular to b and c, |a| = 2, |b| = 3, |c| = 4 and the angle between b and c is 2π/3, |abc| is equal to
(a) 4√3
(b) 6√3
(c) 12√3
(d) 18√3
Correct Answer – (C)
MCQ Questions Class 12 Vector Algebra With Answers
Question 6:
If the vectors i^ − 2j^ + 3k^, −2i^i + 3j^ − 4k^, λi^ − j^ + 2k^ are coplanar, then the value of λ is equal to
(a) 0
(b) 1
(c) 2
(d) 3
Correct Answer – (A)
Question 7:
The volume of the parallelopiped whose edges are represented by −12i^ +αk, 3j^ − k^ and 2i^ + j^ − 15k^ is 546 cu. units. Then α =
(a) 3
(b) 2
(c) -3
(d) -2
Correct Answer – (C)
Question 8:
The volume of the tetrahedron whose conterminous edges are j^ + k^, i^ + k^, i^ + j^ is
(a) 1/6 cu. unit
(b) 1/3 cu. unit
(c) 1/2 cu. unit
(d) 2/3 cu. unit
Correct Answer – (B)
Question 9:
If a, b, c are three non-coplanar vectors, then (a + b + c).[(a + b) × (a + c)] is
(a) 0
(b) 2[abc]
(c) -[abc]
(d) [abc]
Correct Answer – (C)
Question 10:
If a + b + c = 0, then a × b =
(a) c × a
(b) b × c
(c) 0
(d) Both (a) and (b)
Correct Answer – (D)
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