NCERT Solutions for class 12 Maths | Chapter 10 - Vector Algebra

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Questions
1 The distance of the point (- 3, 4, 5) from the origin
A 50
B 5√2
C 6
D None of these

Answer:5√2
2 If class 12 maths chapter 10 vector algebra are coplanar then P =
A 6
B -6
C 2
D -2

Answer:6
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3 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

Answer:π/2
4 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

Answer:-7
5 If |a – b| = |a| = |b| = 1, then the angle between a and b is
A π/3
B 3π/4
C π/2
D 0

Answer:π/3
6 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

Answer:−21/2
7 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

Answer:-25
8 The number of vectors of unit length perpendicular to the vectors a = class 12 maths chapter 10 vector algebra and
A one
B two
C 4
D infinite

Answer:two
9 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]

Answer:[8, 12]
10 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

Answer:−3/2
11 The vectors class 12 maths chapter 10 vector algebra are coplanar if
A λ = -2
B λ = 0
C λ = 1
D λ = -1

Answer:λ = -2
12 The vectors from origin to the points A and B are a = and b = respectively then the area of triangle OAB is
A 340
B √25
C √229
D 1/2 √229

Answer:1/2 √229
13 The vectors class 12 maths chapter 10 vector algebra are the side of a ΔABC. The length of the median through A is
A √18
B √72
C √33
D √288

Answer:√33
14 If |a|= 5, |b|= 13 and |a × b|= 25, find a.b
A ±10
B ±40
C ±60
D ±25

Answer:±60
15 If |a × b| = 4 and |a.b| = 2, then |a|2 |b|2 is equal to
A 2
B 6
C 8
D 20

Answer:20
16 |a × b|2 + |a.b|2 = 144 and |a| = 4, then |b| is equal to
A 12
B 3
C 8
D 4

Answer:3
17 If AB × AC =class 12 maths chapter 10 vector algebra then the are of ΔABC is
A 3 sq. units
B 4 sq. units
C 16 sq. units
D 9 sq. units

Answer:3 sq. units
18 If class 12 maths chapter 10 vector algebra
A 0
B -1
C 1
D 2

Answer:-1
19 If class 12 maths chapter 10 vector algebra
A 5
B 10
C 14
D 16

Answer:16
20 The scalar product of class 12 maths chapter 10 vector algebra
A 10
B -10
C 15
D -15

Answer:-10

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