Get solution: Proof In Exercises 6774, prove the property. In each case, assume and are

Chapter 12, Problem 72

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Proof In Exercises 67-74, 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.

\(\frac{d}{d t}\left[\mathbf{r}(t) \times \mathbf{r}^{\prime}(t)\right]=\mathbf{r}(t) \times \mathbf{r}^{\prime \prime}(t)\)

Text Transcription:

d/dt [r(t) times r’(t)] = r(t) times r’’(t)

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