How to Find Equations for a Line Perpendicular to Two Vectors?

[Black Jackal]

Homework Statement

Find parametric and symmetric equations for the line through P0 (3,3,0) and perpendicular to both given vectors (1,1,0) and (0,1,1)

Homework Equations

parametric: x=x0+at, y=y0+bt, z=z0+ct;
symmetric: x-x0/a=y-y0/b=z-z0/c

The Attempt at a Solution

What is first did is to find the cross product of i and j, but i don't know where to go from here.

 

[lanedance]

use the cross product of both your vectors to give you the direction of the line, say v

if p is the point your line goes through, then your line will be given by p + v.t

 

[Black Jackal]

thanks a lot!