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Given that vec(A)+vec(B)=vec(C ). If |ve...

Given that `vec(A)+vec(B)=vec(C )`. If `|vec(A)|=4, |vec(B)|=5` and `|vec(C )|=sqrt(61)`, the angle between `vec(A)` and `vec(B)` is

A

`30^(@)`

B

`60^(@)`

C

`90^(@)`

D

`120^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`vec(A)+vec(B)=vec(C )`
`(vec(A)+vec(B)).(vec(A)+vec(B))=vec(C ).vec(C )`
`rArr A^(2)+B^(2)+2AB cos theta= C^(2)`
`4^(2)+5^(2)+2xx4xx5cos theta=61`
`rArr cos theta=1/2 rArr theta=60^(@)`
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