If , and , find a vector which is perpendicular to both and and for which .

Given that

Let be the vector which is perpendicular to then we have,

…where k is a scalar

We have,

Here,

We

have

⇒

Thus, substituting the values of ,

in equation (i) we get

⇒

⇒

⇒

Given that

⇒

⇒

⇒