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At what angle the vector (vec(A)+vec(B))...

At what angle the vector `(vec(A)+vec(B))` and `(vec(A)-vec(B))` must act, so that the resultant is `sqrt(A^(2)_B^(2))`

A

`cos^(-1)((A^(2)-B^(2))/(A^(2)+B^(2)))`

B

`cos^(-1)((A^(2)+B^(2))/(A^(2)-B^(2)))`

C

`cos^(-1)((A^(2)-B^(2))/(2(A^(2)+B^(2))))`

D

`cos^(-1)((A^(2)+B^(2))/(2(B^(2)-A^(2))))`

Text Solution

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The correct Answer is:
D
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