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It is given that vec(A) + vec(B) =vec(C)...

It is given that `vec(A) + vec(B) =vec(C)` with `vec(A) _|_^(ar) vec(B) ` and
`|vec(A)|=10, |vec(C)|=20`.
Find `|vec(B)|` and angle of `vec(c)` with `vec(A)`

Text Solution

Verified by Experts

`cos alpha =(|vec(A)|)/(|vec(C)|)`
`alpha=60^(@) and theta=30^(@)`
`vec(A)+vec(B)=vec(C)`
`|vec(C)|^(2)=|vec(A)|^(2)+|vec(B)|^(2)`
`|vec(B)|=10sqrt(3)`
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