Question

Find two unit vectors orthogonal to both given vectors. <3, −3, 3>, <0, 6, 6>?

Answer 1

Step 1:

Let the vectors be .

The cross product is orthogonal to both and .

.

Step 2:

Formula for the unit vector

The unit vector

The second unit vector orthoganal to both and

(This is negative of the previous unit vector).

The two unit vectors are and .

Solution:

The two unit vectors are and .