The figure given below shows the orientation of two vectors `vecu and vecv` in the xy plane .

if `vecu=ahati+b hatj and vecv=phati+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. p and q are all positive .

Answer

B

Explanation

(b): Since `vec u =a hat i+ b hatj `
`vecu` is in first quadrant, so both components a and b are poitive .
`vec(v)=p hatu + qhatj`
`vec(v)` is in positive X-direction (downward), so X component of `vec(v)`, i.e. p, is positive and Y- component of `vec (v)`, i.e. q, will be negative.
The correct option is (b) .