So I have

P (3,0,2)

Q (1,2,-1)

R (2,-1,1)

and I must find an orthogonal non zero vector.

If I find the cross product it should be an orthogonal vector, right? So how do I find a non zero vector?

Here is my work:

PQ (-2,2,-3)

PR (-1,-1,-1)

PQxPR (5,-1,-4)

So can the vector 5,-1,-4 be considered the non zero vector orthogonal to points PQR?