Find a vector of magnitude 6 which is perpendicular to both the vectors and .

Question

Philoid · Accepted Answer

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

…where k is a scalar

Thus, we have r is vector of magnitude 6,

So,

We have,

Here,

We

have

⇒

Thus, substituting the values of ,

in equation (i) we get

⇒

Here, as r is of magnitude 6 thus,

k = 6,

Thus,