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Find Unit Vector perpendicular to the Surface 
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#1
Dec410, 01:17 PM

P: 19

Find Unit Vector perpendicular to the Surface,
x^{3}+zx=1 at the point P=(1,2,1) I figures that the perpendicular vector would be, N(X)=grad(x^{3}+zx) = (3x^{2}+z, 0, x) N(P)= (3,0,1) Then the unit vector would be, n=N(P)/N(P) n=(3/5^{1/2},0,1/5^{1/2}) The answer i get is not the right answer and i dont see where im going wrong. Thanks, 


#2
Dec410, 01:59 PM

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P: 25,235

Is (3x^2+z,0,x) at P=(1,2,1) really (3,0,1)?



#3
Dec410, 02:28 PM

P: 19

Thanks for pointing that out Dick, minor error.
(2,0,1) Its still not the right answer which is 1/27^{1/2}(5,1,1) 


#4
Dec410, 02:44 PM

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P: 25,235

Find Unit Vector perpendicular to the Surface



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