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# Advanced Math/Lines and planes in space

Question
This is the only problem i have left of my homework. I have no idea what to do.

Two planes pi_1 and pi_2 are orthogonal and intersect in the line L: (x,y,z) = (-4,-4,2) + t<3,-5,0>.

If pi_1 contains the point Q(-3,-3,-4), find the equations of these planes. What are the equations of pi_1 and pi_2"

Questioner:   John
Private:   No
Question:   This is the only problem i have left of my homework. I have no idea what to do.

Two planes pi_1 and pi_2 are orthogonal and intersect in the line L: (x,y,z) = (-4,-4,2) + t<3,-5,0>.

If pi_1 contains the point Q(-3,-3,-4), find the equations of these planes. What are the equations of pi_1 and pi_2"

Try to find two vectors IN pi_1.  Thus find the normal vector to pi_1 and then its equation.

Then use the fact that the normal to pi_1 is parallel to pi_2.  Now you have two vectors in pi_2.  Proceed.
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