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If-r-1-sin-cos-r-2-cos-sin-3-and-r-3-2-3-1-find-d-d-r-1-r-2-r-3-at-0-




Question Number 195165 by Nimnim111118 last updated on 25/Jul/23
If r_1 ^(→) =(sinθ,cosθ,θ), r_2 ^(→) =(cosθ,−sinθ,−3) and   r_3 ^(→) =(2,3,−1), find (d/dθ){r_1 ^(→) ×(r_2 ^(→) ×r_3 ^(→) )} at θ=0
$$\mathrm{If}\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }=\left(\mathrm{sin}\theta,\mathrm{cos}\theta,\theta\right),\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }=\left(\mathrm{cos}\theta,−\mathrm{sin}\theta,−\mathrm{3}\right)\:\mathrm{and} \\ $$$$\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{3}} }=\left(\mathrm{2},\mathrm{3},−\mathrm{1}\right),\:\mathrm{find}\:\frac{\mathrm{d}}{\mathrm{d}\theta}\left\{\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }×\left(\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }×\overset{\rightarrow} {\mathrm{r}_{\mathrm{3}} }\right)\right\}\:\mathrm{at}\:\theta=\mathrm{0} \\ $$
Commented by Nimnim111118 last updated on 25/Jul/23
Please help
$$\mathrm{Please}\:\mathrm{help} \\ $$

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