Let f(x,y,z)=-x^2+sin(y)-2z^2=0 define a surface in 3 dimensions. Find the equation of the normal line to the surface in 3 dimensions.  Find a point which is at a distance of 4 from the tangent plane at the point (2pi, 0, 3/2)

Advanced Engineering Mathematics
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ISBN:9780470458365
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Chapter2: Second-order Linear Odes
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Let f(x,y,z)=-x^2+sin(y)-2z^2=0 define a surface in 3 dimensions.

Find the equation of the normal line to the surface in 3 dimensions.  Find a point which is at a distance of 4 from the tangent plane at the point (2pi, 0, 3/2).  Hint: you have the normal to this plane.....).

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