Vector Algebra MCQ Questions for Class 12 Maths Chapter 10 with Answer

Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 10 Vector Algebra with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Vector Algebra. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

NCERT MCQ Chapters for Class 12 Mathematics

Q1. If a, b, c are unit vectors, then |a – b| + |b – c| + |c – a| does not exceed

(i) 4
(ii) 9
(iii) 8
(iv) 6

(ii) 9

Q2. If u, v and w are three non-coplanar vectors, then (u + v – w).[(u – v) × (v – w)] equals

(i) 0
(ii) u.v × w
(iii) u.w × v
(iv) 3u.v × w

(ii) u.v × w

Q3. If a, b, c are three non-coplanar vectors, then (a + b + c).[(a + b) × (a + c)] is

(i) 0
(ii) 2[abc]
(iii) -[abc]
(iv) [abc]

(iii) -[abc]

Q4. If a + b + c = 0, then a × b =

(i) c × a
(ii) b × c
(iii) 0
(iv) Both (i) and (ii)

(iv) Both (i) and (ii)

Q5. Which of the following represents coinitial vector?

(i) c, d
(ii) m, b
(iii) b, d
(iv) Both (i) and (ii)

(iv) Both (i) and (ii)

Q6. 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

(i) 0
(ii) -7
(iii) 7
(iv) 1

(ii) -7

Q7. 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

(i) 47
(ii) 25
(iii) 50
(iv) -25

(iv) -25

Q8. If |a| = 4 and -3 ≤ λ ≤ 2, then the range of |λa| is

(i) [0, 8]
(ii) [-12, 8]
(iii) [0, 12]
(iv) [8, 12]

(iii) [0, 12]

Q9. The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is

(i) √3
(ii) 1 – √3
(iii) 1 + √3
(iv) -√3

(i) √3

Q10. If |a × b| = 4 and |a.b| = 2, then |a|² |b|² is equal to

(i) 2
(ii) 6
(iii) 8
(iv) 20

(iv) 20

Q11. |a × b|2 + |a.b|2 = 144 and |a| = 4, then |b| is equal to

(i) 12
(ii) 3
(iii) 8
(iv) 4

(ii) 3

Q12. The summation of two unit vectors is a third unit vector, then the modulus of the difference of the unit vector is

(i) √3
(ii) 1 – √3
(iii) 1 + √3
(iv) -√3

(i) √3

Q13. If u, v and w are three non-coplanar vectors, then (u + v – w).[(u – v) × (v – w)] equals

(i) 0
(ii) u.v × w
(iii) u.w × v
(iv) 3u.v × w

(ii) u.v × w

Q14. If |a|= 5, |b|= 13 and |a × b|= 25, find a.b

(i) ±10
(ii) ±40
(iii) ±60
(iv) ±25

(iii) ±60

Q15. If a, b, c are unit vectors such that a + b + c = 0, then the value of a.b + b.c + c.a is

(i) 1
(ii) 3
(iii) −3/2
(iv) None of these

(iii) −3/2

Above

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