Figure shows the orientation of two vectors `u` and `v`in the `XY` plane.
if`vecu=ahati+bhatj` and `vecv=p hati+qhatj`
which of the following is correct?

Options

A. `a` and `p` are positive while `b` and `q` are negative
B. `a,p` and `b` are positive while `q` is negative
C. `a,q` and `b` are positive while `p` is negative
D. `a,b,q` and `q` are all positive

Answer

B

Explanation

clearly from the diagram `u=ahati+bhatj`
As `u` is in the first quadrant, hence both components `a` and `b` will be positive For `v=phati+qhatj`,as it is in positive `x`-direction and located downward hence `x`-componenet `p` will be positive and `y`-component `q` will be negative.