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If the angle between the vectors `vec(a) and vec(b) ` is `(pi)/(3)`, what is the angle between `-5vec(a) and 6 vec(b)`?

A

`(pi)/(6)`

B

`(2pi)/(3)`

C

`(2pi)/(5)`

D

`(3pi)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
B

From the figure it is clear that the angle between `6vec(b) and -5vec(a)` is `120^(@) ` or `(2pi)/(3)`.

`theta = pi - (pi)/(3)=(2pi)/(3)`.
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