15_2_7 - 7. (r) = 1 |r - r0 |2 2 =- |r - r0 | x |r - r0 |3...

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Unformatted text preview: 7. (r) = 1 |r - r0 |2 2 =- |r - r0 | x |r - r0 |3 x r (r - r0 ) 2 x =- |r - r0 |3 |r - r0 | 2(x - x 0 ) =- . |r - r0 |4 Since similar formulas hold for the other first partials of , we have F= =- 2 (x - x 0 )i + (y - y0 )j + (z - z 0 )k |r - r0 |4 r - r0 . = -2 |r - r0 |4 This is the vector field whose scalar potential is . ...
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