(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] General equation for plane through the origin

1. The problem statement, all variables and given/known data

Show that for any funcions f(t), g(t), and h(t), the graph of

r(t) = [f(t)-g(t)]i+ [g(t)-h(t)]j+ [h(t)-f(t)]k

lies on a plane passing through the origin.

2. Relevant equations

3. The attempt at a solution

I have tried various equations for f(t), g(t), and h(t) and the equations obviously holds true. However, that doesn't bring me any closer as towhyit works. It seems pitifully simple, I know, but the solution escapes me. Any help would be greatly appreciated...Thanks a lot

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# Homework Help: General equation for plane through the origin

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