Math Is Fun Forum

dexza666

Member

Registered: 2008-04-21

Posts: 5

tangent plane

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Two surfaces are said to be orthogonal at a point P if the normals to their tangent planes are perpendicular at P. Show that the surfaces z= 1/2(x²+y² -1) and z=1/2(1- x²-y²) are orthogonal at all points of intersection.

luca-deltodesco

Member

Registered: 2006-05-05

Posts: 1,470

Re: tangent plane

normals of a surface are given by partial derivitives by:

so

Last edited by luca-deltodesco (2008-04-22 18:35:31)

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