Figure shows the orientation of two vectors `vecu and vecv` in the XY plane

If `vecu=ahati+b hatj and vecv=p hati+q hatj` which of the following is correct ?`

Options

A. a and p are positive whileb 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, p and q are all positive

Answer

B

Explanation

As per figure, In `vecv=phati+qhatj, p` is positive both a and b are positive in `vecv=phati+qhatj, p`, is positive and q is negative. Thus a,b and p are positive and q is negative