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Figure shows the orientation of two vect...

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?

A

a and p are positivewhile b andq are negative

B

a,p and b are positive while q is negative

C

a,q and b are positve while p is negative

D

a,b,p and q are all positive

Text Solution

Verified by Experts

The correct Answer is:
B
(b) Clearly from the digaram ,`u=ahati+bhatj`
As u is in the forst quadrant hence both component a and b will be postive .
For `v=phati +qhatj` as it is n positive x -dieation and locked downward hence x- compponent p eill be postive and y-component q will be nagative .
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