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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)/(4)`

B

`(pi)/(2)`

C

`(3pi)/(4)`

D

`pi`

Text Solution

Verified by Experts

The correct Answer is:
C
(c ) from the figurer `Bcos therta =C and B sin theta=A`

But A=C
`therefore B cos theta =B sin theta or theta =45^(@)`
` therefore ` Angle between A and B is `135^(@)`
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