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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GATE Textile Engineering and Fibre Science (TF) Question Papers | GATE Textile Question Answer | GATE Textile Solved Question Papers | GATE Textile Papers | GATE Textile Answer Key

(A)	$xi+yj+zk$
(B)	$\frac{1}{a}(i+j+k)$
(C)	$\frac{x}{a}i+\frac{y}{a}j+\frac{z}{a}k$
(D)	$a(xi+yj+zk)$