# Topic: Chapter 6: Applications of Vector Algebra (Test 1)

Topic: Chapter 6: Applications of Vector Algebra
Q.1
If and are parallel vectors, then [   ] is equal to
A. 2
B. -1
C. 1
D. 0
Answer : Option D
Explaination / Solution:
No Explaination.

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Q.2
If a vector lies in the plane of and , then
A. B. C. D. Answer : Option C
Explaination / Solution:
No Explaination.

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Q.3
If , then the value of [ ] is
A. B. C. 1
D. -1
Answer : Option A
Explaination / Solution:
No Explaination.

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Q.4
If   are three unit vectors such that is perpendicular to , and is parallel to then x ( x ) is equal to
A. B. C. D. Answer : Option B
Explaination / Solution:
No Explaination.

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Q.5
If [ ,  ] = 1, then the value of is
A. 1
B. -1
C. 2
D. 3
Answer : Option C
Explaination / Solution:
No Explaination.

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Q.6
The volume of the parallelepiped with its edges represented by the vectors iˆ + ˆj, iˆ + 2 ˆj, iˆ + ˆj + π kˆ is
A. π/2
B. π/3
C. π
D. π/4
Answer : Option C
Explaination / Solution:
No Explaination.

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Q.7
If and are unit vectors such that [ , b, × b ] = π/4, then the angle between and is
A. π/6
B. π/4
C. π/3
D. π/2
Answer : Option A
Explaination / Solution:
No Explaination.

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Q.8
If and , then the value of λ + μ is
A. 0
B. 1
C. 6
D. 3
Answer : Option A
Explaination / Solution:
No Explaination.

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Q.9
If   are non-coplanar, non-zero vectors such that [   ] = 3, then is equal to
A. 81
B. 9
C. 27
D. 18
Answer : Option A
Explaination / Solution:
No Explaination.

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Q.10
If   are three non-coplanar vectors such that , then the angle between and is
A. π/2
B. 3π/4
C. π/4
D. π
Answer : Option B
Explaination / Solution:
No Explaination.

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