GATE (TF) Textile 2008 Question Paper Solution | GATE/2008/TF/28

Question 28 (Textile Engineering & Fibre Science)

The unit normal vector n to a surface S(x,y,z)=0 is defined as

n=\frac{\triangledown S}{|\triangledown S|}, |\triangledown S| is the modulus of \triangledown S.

If the equation of the surface is S=x^2+y^2+z^2-a^2=0, then unit normal to this surface is given by

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