Q. 3 A4.8( 4 Votes )

# Find a unit vecto

Given two vectors and

Let and

We need to find a unit vector perpendicular to and.

Recall a vector that is perpendicular to two vectors and is

Here, we have (a1, a2, a3) = (4, –1, 3) and (b1, b2, b3) = (–2, 1, –2)

Let the unit vector in the direction of be.

We know unit vector in the direction of a vector is given by .

Recall the magnitude of the vector is

Now, we find.

So, we have

Thus, the required unit vector that is perpendicular to both and is.

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