# [SOLVED] Find vector orthogonal to two points

• Mar 4th 2010, 12:38 PM
thekrown
[SOLVED] Find vector orthogonal to two points
I have to find a vector orthogonal to u and v.

u = (-2,1,5)
v = (3,0,-3)

I had a problem similar to this with two lines and I found the distance of the common line orthogonal to both except the data given was different. I'm not sure if this problem is the same because I don't recognize anything I can use that I used in the previous problem.

How do I go about solving something like this?
• Mar 4th 2010, 01:02 PM
tonio
Quote:

Originally Posted by thekrown
I have to find a vector orthogonal to u and v.

u = (-2,1,5)
v = (3,0,-3)

I had a problem similar to this with two lines and I found the distance of the common line orthogonal to both except the data given was different. I'm not sure if this problem is the same because I don't recognize anything I can use that I used in the previous problem.

How do I go about solving something like this?

The cross product of any two vectors is orthogonal to both.

Tonio
• Mar 4th 2010, 01:08 PM
thekrown
Excellent, okay so here we would have the cross product (-3,9,-3).