Is There a Tangent Plane on x^2-3y^2+2z=4 Parallel to 2x+y-z=4?

[Romperstomper]

Is there a point on the surface of x^2-3y^2+2z=4 where the tangent plane is parallel to the plane 2x+y-z=4?

I can find a plane tangent to the surface at a certain point, but I'm lost on this one. Any help will be appretiated.

 

[learningphysics]

Find the tangent plane to the surface at a point (x1,y1,z1).

Then see if there's any (x1,y1,z1) such that this plane is parallel to 2x+y-z=4

 

[robphy]

This might work:
Compute the vector field of normals to your surface.
Check if your vector field is equal at some point to the normal of your plane.