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If vec(A)=vec(B)+vec(C ), and the magnit...

If `vec(A)=vec(B)+vec(C )`, and the magnitudes of `vec(A)`,`vec(B)`,`vec(C )` are 5,4, and 3 units, then the angle between `vec(A)` and `vec(C )` is

A

`cos^(-1)(3/5)`

B

`cos^(-1)(4/5)`

C

`sin^(-1)(3/4)`

D

`pi/2`

Text Solution

Verified by Experts

The correct Answer is:
A
`cos theta =C/A=3/5` or `theta= cos^(-1)(3/5)`
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Knowledge Check

  • If vec(A)=vec(B)+vec(C) and the magnitude of vec(A), vec(B) and vec(C) are 5, 4, and 3 units respectively the angle between vec(A) and vec(B) is :

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