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Given that vec(A)+vec(B)=vec(C ) and tha...

Given that `vec(A)+vec(B)=vec(C )` and that `vec(C )` is perpendicular to `vec(A)` Further if `|vec(A)|=|vec(C )|`, then what is the angle between `vec(A)` and `vec(B)`

A

`pi/4rad`

B

`(3pi)/4rad`

C

`(5pi)/4rad`

D

`(7pi)/4rad`

Text Solution

Verified by Experts

The correct Answer is:
B

`tan theta' =C/A=1`
`rArr theta'=45^(@)=pi/4`
`theta= pi-pi/4=(3pi)/4`
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