The force F 5 (xi 1 yj 1 zk)/(x 2 1 y2 1 z 2 ) 3/2 acts on
Chapter 13, Problem 13.84(choose chapter or problem)
The force \(\mathbf{F}=(x \mathbf{i}+y \mathbf{j}+z \mathbf{k}) /\left(x^{2}+y^{2}+z^{2}\right)^{3 / 2}\) acts on the particle P(x, y, z) which moves in space. (a) Using the relations derived in Prob. 13.79, prove that F is a conservative force. (b) Determine the potential function V(x, y, z) associated with F.
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