In Exercises prove the property. In each case, assume r, u, and v are differentiable vector-valued functions
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In Exercises prove the property. In each case, assume r, u, and v are differentiable vector-valued functions of t in space, w is a differentiable real-valued function of t, and c is a scalar.
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{r(t) · [u(t) × v(t)]} = r'(t) · [u(t) × v(t)] + r(t) [u' (t) x v(t)] + r(t) · [u(t) × v'(t)]
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