What are the parametric equations of a line perpendicular to two given lines?

[bonbon]

Homework Statement

find the parametric equations of the line through A(-3,2,5) and is perpendicular to both line 1 and line 1 where

line 1: (x-4)/3=y-2=(z-3)/-2
line 2: (x,y,z)=(-1,1,5)+k(-1-2,3)


2. The attempt at a solution

i think i need to find the normal for the line 1 and line 2.. but I'm not sure.. also i have a unit test on this tomorrow.. so any help would be great

 

[Dick]

You need to find tangent vectors to both line1 and line2. Can you start by doing that? Are you, by any chance, in the same test as passenger48?

 

[bonbon]

oh i finally figured it out.. i just need to do the cross product of the two dirction vectors of the two line..