Closed plane curves Consider the curve r(t) = (a cos t + b sin t)i + (c cos t + d sin t)j + (e cos t + f sin t)k, where a, b, c, d, e, and f are real numbers. It can be shown that this curve lies in a plane.
73. Find a general expression for a nonzero
where 〈a, c, e〉 × 〈b, d, f〉 ≠ 0.
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