Question

Two vectors P and Q are inclined to each other at angle theta.Which of the following is the unit vector perpendicular to P and Q?

(1) P x Q

P.Q



(2)^ ^

P x Q

sin0 theta



(3)^^

P x Q

PQsin theta



(4)^

P x Q

PQsin theta

Answer 1

Answer:

pxq/|p||q|sinθ.

Explanation:

Since, from the question we get that the vectors are perpendicular to each other then vector p and q will be vector pxq which is the cross product.

We also know that the unit vector which lies along vector X will be vector X/|X|.

So, know the unit vector which is perpendicular to vector p and q will be pxq/|pxq|.

Again, we know that |pxq|=pqsinθ. So, the unit vector will be pxq/|p||q|sinθ.