anonymous
  • anonymous
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)?
Mathematics
katieb
  • katieb
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amistre64
  • amistre64
does "normal to the surface" mean a tangent line/plane?
anonymous
  • anonymous
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
  • anonymous
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

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anonymous
  • anonymous
Correction, should be -(z+4)... But you get the point I hope. :)
anonymous
  • anonymous
Sounds like a winner! Thanks

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