There are two force vectors, one of `5 N` and other of `12 N` at what angle the two vectors be added to get resultant vector of `17 N, 7 N` and `13 N` respectively.

Options

A. `0^(@), 180^(@) and 90^(@)`
B. `0^(@), 90^(@) and 180^(@)`
C. `0^(@), 90^(@) and 90^(@)`
D. `180^(@), 0^(@) and 90^(@)`

Answer

A

Explanation

Resultant `|vec(R)| = sqrt(A^(2) + B^(2) + 2AB cos theta)`
`theta= 0^(@), R_("max")= A + B= 17`
`theta= 180^(@), R_("min") = A- B= 7`
`theta= 90^(@), R= sqrt(A^(2) +B^(2))= 13`