Find vector parallel to two planes

[Bestphysics112]

Homework Statement

Find unit vector(s) that are parallel to both of the planes 6x + y + z = 1 and x − y − z = 0 .

Homework Equations

N/A

The Attempt at a Solution

OK. So here is my reasoning - I find the normal of both the given planes and find the cross product between the vectors. The resultant vector will be parallel to both of the planes. I normalize the vector after to obtain the final answer. Is my logic correct? This is my first post on PF so I'm not sure if there is anything else I need to provide

 

[Orodruin]

Is my logic correct?

Yes.

 

[Bestphysics112]

Yes.

Thanks. Is LaTeX necessary for this forum? I will probably ask some questions in the physics sections soon and was wondering what formatting is preferred. Also how do i close this thread?

 

[Orodruin]

Is LaTeX necessary for this forum?

I would highly recommend it for more advanced maths. For simple things there is no point really. There is a short introduction on how to use it on the forum here: LaTeX Primer

Also how do i close this thread?

You cannot close the thread. In the homework sections, you can mark a thread as solved by clicking "mark solved" in the upper right corner.