Vector Algebra Test

Result

Vector Algebra Test - 30

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D

Solution
Question 2
4 / -1

A

B

C

D
Question 3
4 / -1

If a × (b × c) = (a × b) × c, where a, b and c are any three vectors such that a ∙b ≠ 0 , c ≠ 0, then a and c are

A
inclined at an angle of π/6 between then

B
perpendicular

C
parallel

D
inclined at angle of π/3, between them
Question 4
4 / -1

If a and b are unit vectors, then the vector (a + b) × (a × b) is parallel to the vector

A
a – b

B
a + b

C
2a – b

D
2a + b
Question 5
4 / -1

A

B

C

D

Solution
Question 6
4 / -1

A, B and C are three non - zero vectors, no two of them are parallel. If A + B is collinear to C and B + C is collinear to A, then A + B + C is equal to

A
A

B
B

C
C

D
0
Question 7
4 / -1

If ABCDEF is a regular hexagon with AB = a and BC = b, then CE equals to

A
b – a

B
–b

C
b – 2a

D
None of these

Solution
Question 8
4 / -1

A

B

C

D
None of these

Solution
Question 9
4 / -1

A

B

C

D
from a null set

Solution
Question 10
4 / -1

A

B

C

D
None of these

Solution