Find a unit vector perpendicular to each of the vector

Question

Philoid · Accepted Answer

Given that
and

Let

Now, we want to find a vector which is perpendicular to both and . It is given by .

Let

Expanding along first row,

Therefore,

Now we want to find the unit vector. We know that unit vector means that the magnitude of the vector is 1(unit).

It is defined as

So, we find the magnitude of first.