Finding unit vectors perpendicular to points.

Find unit vectors perpendicular to a = (1, 3, -1) and b = (2, 0, 1).

I understand that the cross product of two vectors will give a vector that is perpendicular to them. So I did the cross product and I have 3i - 3j - 6k.

How do I find more vectors that are perpendicular?

Re: Finding unit vectors perpendicular to points.

Quote:

Originally Posted by

**deezy** Find unit vectors perpendicular to a = (1, 3, -1) and b = (2, 0, 1).

I understand that the cross product of two vectors will give a vector that is perpendicular to them. So I did the cross product and I have 3i - 3j - 6k.

Here are the two unit vectors:

$\displaystyle \pm\frac{3i-3j-6k}{\|3i-3j-6k\|}$

Re: Finding unit vectors perpendicular to points.

How do you know that those vectors are perpendicular, and does 3i - 3j - 6k count?

Re: Finding unit vectors perpendicular to points.

Quote:

Originally Posted by

**deezy** How do you know that those vectors are perpendicular, and does 3i - 3j - 6k count?

Read the question.

Find **unit** vectors perpendicular to a & b.