Question

Find the magnitude of u x v and the unit vector parallel to u x v in the direction of u x v. u=6i-6j+7k, v=0

Answer 1

We have been given two vectors:

$u=6i-6j+7k$ and $v=0$.

Let us first find the cross product $u \times v$:

$u \times v$=i(0)-j(0)+k(0) = 0i+0j+0k

Since the cross product turned out to be the null vector, therefore, we cannot find the unit vector parallel to $u \times v$ in the direction of $u \times v$ for the given scenario.