If the vectors `3 vec p + vec q`; `5 vec p - 3 vecq` and `2 vec p + vec q`; `4 vec p - 2 vec q` are pairs of mutually perpendicular then sin( `vec p`,`vec q)` is :

Options

A. a) `(sqrt(55))/(4)`
B. b) `(sqrt(55))/(8)`
C. c) `(3)/(16)`
D. d) `(sqrt(247))/(16)`

Answer

B