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

bibo_dvd · Jun 19, 2014

Hello guys !

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

Textbook problem D1.2 on a vector field S in cartesian coordinates, with parts (a) to (c), followed by answers including 5.95a_x + 11.90a_y + 23.8a_z, 0.218a_x + 0.436a_y + 0.873a_z, and the sphere equation (x - 1)^2 + (y - 2)^2 + (z + 1)^2 = 125.

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

Orodruin · Jun 19, 2014

As you have solved b you must have already computed |S|. From having that expression you should be able to progress.

BiGyElLoWhAt · Jun 19, 2014

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?

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

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