What Does a Unit Vector Field Look Like in Cartesian Coordinates?

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bibo_dvd
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Hello guys !

i have this problems while solving problems on vector calculus ..

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i solved (a) , (b)
as i put P(2,4,3) in the formula of S and i solved it and i solved (b) as a(S)= S/lSl

but in (c) i don't how what should i do to solve it ..please help me guys ..Thank you
 
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Where the magnitude of S is 1, what does that look like mathematically in terms of x y and z? In other words, you have a locus of points, and all of these points, when you calculate the magnitude of S there, it's equal to 1. What does this look like mathematically?