Question Number 116094 by Engr_Jidda last updated on 30/Sep/20 Answered by 1549442205PVT last updated on 01/Oct/20 $$\mathrm{A}\left(\mathrm{t}_{\mathrm{1}} ,\frac{\mathrm{1}}{\mathrm{t}_{\mathrm{1}} }\right),\mathrm{B}\left(\mathrm{t}_{\mathrm{2}} ,\frac{\mathrm{1}}{\mathrm{t}_{\mathrm{2}} }\right)\Rightarrow\overset{\rightarrow} {\mathrm{AB}}=\left(\mathrm{t}_{\mathrm{2}} −\mathrm{t}_{\mathrm{1}} ,\frac{\mathrm{1}}{\mathrm{t}_{\mathrm{2}} }−\frac{\mathrm{1}}{\mathrm{t}_{\mathrm{1}}…
Question Number 114043 by Dwaipayan Shikari last updated on 16/Sep/20 $$\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}\frac{\mathrm{1}}{{n}^{\mathrm{3}} +\mathrm{1}} \\ $$ Answered by maths mind last updated on 21/Sep/20 $$\underset{{n}\geqslant\mathrm{1}}…
Question Number 179453 by cherokeesay last updated on 29/Oct/22 Answered by mr W last updated on 29/Oct/22 Commented by mr W last updated on 29/Oct/22…
Question Number 179053 by Giantyusuf last updated on 24/Oct/22 Answered by Tokugami last updated on 27/Oct/22 $${OD}={OA}+{AD} \\ $$$${AD}={OD}−{OA}=\begin{pmatrix}{{d}}\\{\mathrm{3}{d}}\end{pmatrix}\:−\begin{pmatrix}{\mathrm{8}}\\{\mathrm{4}}\end{pmatrix}\:=\begin{pmatrix}{{d}−\mathrm{8}}\\{\mathrm{3}{d}−\mathrm{4}}\end{pmatrix} \\ $$$${BD}={OD}−{OB}=\begin{pmatrix}{{d}}\\{\mathrm{3}{d}}\end{pmatrix}\:−\:\begin{pmatrix}{\mathrm{12}}\\{\mathrm{6}}\end{pmatrix}\:=\begin{pmatrix}{{d}−\mathrm{12}}\\{\mathrm{3}{d}−\mathrm{6}}\end{pmatrix} \\ $$$$ \\ $$$$\mid{AD}\mid=\sqrt{\left({d}−\mathrm{8}\right)^{\mathrm{2}}…
Question Number 47964 by Rio Michael last updated on 17/Nov/18 $${A}\:{particle}\:{A}\:{at}\:{rest}\:{with}\:{position}\:{vector}\:\mathrm{2}{i}−{j}\:\:{with}\:{mass}\:\mathrm{500}{kg}\:{is}\:{hit}\:{by}\: \\ $$$${another}\:{particle}\:{B}\:{moving}\:{at}\:{a}\:{velocity}\:{of}\:\left(\mathrm{5}{i}−\mathrm{4}{j}\right){ms}^{−\mathrm{1}} \:{with}\:{mass}\:\mathrm{300}{kg}. \\ $$$${and}\:{they}\:{all}\:{move}\:{in}\:{the}\:{direction}\:{of}\:{B}. \\ $$$$\left.{a}\right)\:{What}\:{is}\:{the}\:{momentum}\:{after}\:{impact}? \\ $$$$\left.{b}\right)\:{Calculate}\:{the}\:{impulse}\:{generated},{hence}\:{or}\:{otherwise}, \\ $$$${Calculate}\:{the}\:{distance}\:{A}\:{and}\:{B}\:{cover}\:{after}\:{impact}\:{at}\: \\ $$$${a}\:{time}\:{of}\:\mathrm{1}{minute}. \\…
Question Number 46611 by ajfour last updated on 29/Oct/18 Commented by ajfour last updated on 29/Oct/18 $${A}\:{ring}\:{of}\:{radius}\:{R}\:{stands}\:{upright} \\ $$$${at}\:{G}\left({a},{b},\mathrm{0}\right).\:{Along}\:{which}\:{line},\:{in} \\ $$$${xy}-{plane}\:{and}\:{passing}\:{through}\:{G}, \\ $$$${as}\:{axis}\:{should}\:{the}\:{ring}\:{be}\:{tilted} \\ $$$${and}\:{by}\:{how}\:{much}\:\left(\theta\right)\:{such}\:{that}…
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Question Number 45719 by Raj Singh last updated on 15/Oct/18 Answered by tanmay.chaudhury50@gmail.com last updated on 16/Oct/18 $${when}\:{an}\:{object}\:{moves}\:{in}\:{straight}\:{line}\:{with} \\ $$$${accelaration}…{then}\:{velocity}\:{and}\:{accelaration} \\ $$$${have}\:{same}\:{direction}… \\ $$ Terms…
Question Number 45681 by Raj Singh last updated on 15/Oct/18 Answered by ajfour last updated on 15/Oct/18 $$\hat {{k}}=\hat {{i}}×\hat {{j}} \\ $$ Terms of…
Question Number 110320 by bemath last updated on 28/Aug/20 $${find}\:{the}\:{point}\:{of}\:{intersection} \\ $$$${of}\:{the}\:{line}\:\overset{\rightarrow} {{r}}=\left(\mathrm{1}−\mathrm{2}{t},\mathrm{3}+\mathrm{4}{t},{t}\right) \\ $$$${and}\:{the}\:{plane}\:\mathrm{3}{x}−\mathrm{2}{y}+\mathrm{5}{z}=\mathrm{15}\: \\ $$ Answered by mr W last updated on 28/Aug/20…