The magnitude of vectors `vec(A), vec(B)` and `vec(C)` are 12, 5 and 13 units and `vec(A) + vec(B) = vec(C)` . The angle between A and B is :

Options

A. `0^@`
B. `45^@`
C. `90^@`
D. `180^@`

Answer

C

Explanation

Since `(13)^(@)=(12)^(2) + (5)^(2)`
`implies C^(2) =A^(2) + B^(2)`
`:.` `vec(A)` and `vec(B)` are perpendicular to each other.