# Find a Vector parallel to the line of intersection

by stratusfactio
Tags: intersection, line, parallel, vector
 P: 22 1. The problem statement, all variables and given/known data Find a vector parallel to the line of intersection of the planes given by the equations 2x-3y+5z=2 and 4x+y-3z=7. 2. Relevant equations How do I go about this? I know we have two vectors <2,3,5> and <4,1,-3> but where do I go from here? 3. The attempt at a solution I don't know whether I dot this, cross product this. I'm lost as where to go from here.
 HW Helper P: 3,309 note that the line is parallel to both planes. so it is perpendicular to both planes' normals. If you can find the normal of each planes (which you have), how can you use those 2 vectors to find a vector perpendicular to both?
HW Helper
Thanks
PF Gold
P: 6,992
 Quote by lanedance note that the line is parallel to both planes. so it is perpendicular to both planes. If you can find the normal of each planes (which you have), how can you use those 2 vectors to find a vector perpendicular to both?
I'm sure you mean both planes normals.

HW Helper
P: 3,309

## Find a Vector parallel to the line of intersection

cheers, updated it

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