(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Let A = <2,1> be a vector with contravarient components at a point P with coordinants u1 = 1 , u2=1. Find the components a-1,a-2 (-1 and -2 are upstairs) of this vector with respect to the coordinates u-1 = sqrt((u1)^2 + (u2)^2) and u-2 = arctan(u2/u1).

2. Relevant equations

V^m(y) = (dy^m/dx^n) * V (x)^n

3. The attempt at a solution

I got the second component to be -1/2 which is correct but for the first component i keep getting 2/2^(1/2) but the answer is 3/2^(1/2).

The derivative of u-1 wrt u1 is:

1/2 [ (u1)^2 + (u2)^2) ]^(-1/2) * (2*u1)

then when i plug in u1=1 and u2 = 1 you get 1/(2^(1/2)). Then i multiply that by the a1 component 2 and this is how i got my answer.

Can anyone see where i went wrong?

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# Help with contravarient vector transformation

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