A boat has a velocity `4m//s` towards east with respect to river is flowing north with velocity `2m//s` Wind is blowing towards north with velocity `6m//s`. The direction of the flag blown over by the wind hoisted on the boat is `:`

Options

A. North-west
B. South-west
C. `tan^(-1)(1//2)` with east
D. North

Answer

A

Explanation

Flag below in the direction of resultant of `vec(V)_(W)` & `vec(V)_(B)`

`vec(V)_(W)-vec(V)_(B)=6hat(j)-(4hat(i)+2hat(j))=4(-hat(i)+hat(j))NW`
`rArr` N-W direction.