Question

Use the cross product to find a vector perpendicular to each of the following pairs.

a) (4,0,0) and (0,0,4)
I plugged in the cross product formula and got (0, -16, 0)

Answer 1

Find two vectors perpendicular to both (3, -6, 3) and (-2, 4, 2).

I found one using the cross product. The one I found was (-24, -12, 0). How would I find another one?

Answer 2

If you reduce your vectors, you can find others with the same property.

eg. your vector [0,-16,0] is -16[0,1,0]

Answer 3

[-24,-12,0] = -12[2,1,0]

any scalar multiple of [2,1,0] will work