Question

If A and B are two non-zero vectors and vector A x vector B = vector B X vector A then the angle between A and B is

a. Pi/2
b. Pi/3
c. Pi
d. Pi/4​

Answer 1

Answer:

ANSWER

Let angle between 2 vector be θ

Now,

Cross product is given as

A

ˉ

×

B

ˉ

=∣A∣∣B∣sinθ ------ (1)

Dot product is given as

A

ˉ

.

B

ˉ

=∣A∣∣B∣cosθ --------- (2)

Now it is given that

A

ˉ

×

B

ˉ

=

A

ˉ

.

B

ˉ

⇒∣A∣∣B∣sinθ=∣A∣∣B∣cosθ

⇒sinθ=cosθ

⇒tanθ=1

⇒θ=45

o

=

4

π

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