6. Use a property of derivatives of vector valued functions to show that # [F(t) × F'(t)] = F(t) × r"(t)
6. Use a property of derivatives of vector valued functions to show that # [F(t) × F'(t)] = F(t) × r"(t)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![6. Use a property of derivatives of vector-valued functions to show that
\[
\frac{d}{dt} [\mathbf{r}(t) \times \mathbf{r}'(t)] = \mathbf{r}(t) \times \mathbf{r}''(t)
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa9efe910-fb5f-41b2-a82d-eda9e45aba44%2F3ea93f3e-63ad-49d6-90e5-b2bc06224d84%2F5880fb_processed.png&w=3840&q=75)
Transcribed Image Text:6. Use a property of derivatives of vector-valued functions to show that
\[
\frac{d}{dt} [\mathbf{r}(t) \times \mathbf{r}'(t)] = \mathbf{r}(t) \times \mathbf{r}''(t)
\]
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