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Category: Vector

Question-195722

Question Number 195722 by Ari last updated on 08/Aug/23 Commented by Ari last updated on 08/Aug/23 Two metal blocks are placed on top of each other as in the figure. They are released in a vacuum, falling together freely under the action of the earth's gravitational field. What is the force acting on the 3 kg metal block during the fall Commented by mr W last updated on 08/Aug/23…

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 $$\mathrm{If}\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{1}} }=\left(\mathrm{sin}\theta,\mathrm{cos}\theta,\theta\right),\:\overset{\rightarrow} {\mathrm{r}_{\mathrm{2}} }=\left(\mathrm{cos}\theta,−\mathrm{sin}\theta,−\mathrm{3}\right)\:\mathrm{and} \\ $$$$\:\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} \\…

advanced-mathematcs-prove-that-n-1-1-n-1-n-2-csch-pi-1-2-

Question Number 130889 by mnjuly1970 last updated on 30/Jan/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:\:…\:\:\:{advanced}\:\:{mathematcs}\:\:… \\ $$$$\:{prove}\:{that}:: \\ $$$$\:\:\:\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\left(−\mathrm{1}\right)^{{n}} }{\mathrm{1}+{n}^{\mathrm{2}} }\:=\frac{{csch}\left(\pi\right)−\mathrm{1}}{\mathrm{2}} \\ $$$$ \\ $$ Answered by mindispower…