What method do I use to find the equation of the line normal to the surface z=10x+15y-20 at the point (2,0,-4)?

Question

amistre64 · Answer

does "normal to the surface" mean a tangent line/plane?

anonymous · Answer

No, I would be inclined to think that "normal to the surface refers to I line that is perpendicular rather than tangent.  Although this particular lesson does involve tangent lines and such.

anonymous · Answer

The method is: Your knowledge about the relationship between the equation of a plane and it's normal at a point (a,b,c). So in this case the answer should be:
10(x-2)+15(y-0)+(z+4)=0

anonymous · Answer

Correction, should be -(z+4)... But you get the point I hope. :)

anonymous · Answer

Sounds like a winner!  Thanks