Find a Vector parallel to the line of intersection

[stratusfactio]

Homework Statement

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.

Homework 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?

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.

 

[lanedance]

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?

 

[LCKurtz]

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.

 

[lanedance]

cheers, updated it