The magnitude of vector `vec(A),vec(B)` and `vec(C )` are respectively 12,5 and 13 unit and `vec(A)+vec(B)= vec(C )` then the angle between `vec(A)` and `vec(B)` is

Options

A. `pi`
B. 0
C. `(pi)/(2)`
D. `(pi)/(4)`

Answer

C

Explanation

If `vec A bot vec B`, i.e. angle between `vec A and vec B" is "90^(@)` then and then only `12^(2)+5^(2)=13^(2)" or "A^(2) + B^(2) = C^(2) and vec A + vec B = vec C`