Question Number 16294 by Tinkutara last updated on 20/Jun/17 $$\mathrm{Two}\:\mathrm{particles},\:\mathrm{1}\:\mathrm{and}\:\mathrm{2},\:\mathrm{move}\:\mathrm{with} \\ $$$$\mathrm{constant}\:\mathrm{velocities}\:\overset{\rightarrow} {{v}_{\mathrm{1}} }\:\mathrm{and}\:\overset{\rightarrow} {{v}_{\mathrm{2}} }.\:\mathrm{At}\:\mathrm{the} \\ $$$$\mathrm{initial}\:\mathrm{moment},\:\mathrm{their}\:\mathrm{position}\:\mathrm{vectors} \\ $$$$\mathrm{are}\:\mathrm{equal}\:\mathrm{to}\:\overset{\rightarrow} {{r}_{\mathrm{1}} }\:\mathrm{and}\:\overset{\rightarrow} {{r}_{\mathrm{2}} }.\:\mathrm{How}\:\mathrm{must}\:\mathrm{these} \\…
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Question Number 16153 by Tinkutara last updated on 18/Jun/17 $$\mathrm{Is}\:\mathrm{angular}\:\mathrm{displacement}\:\mathrm{a}\:\mathrm{vector} \\ $$$$\mathrm{quantity}? \\ $$ Answered by ajfour last updated on 18/Jun/17 $${only}\:{as}\:{long}\:{as}\:{it}\:{is}\:{very}\:{small}. \\ $$ Commented…
Question Number 147195 by mnjuly1970 last updated on 18/Jul/21 $$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\Omega\::=\:\int_{\mathrm{0}} ^{\:\mathrm{1}} \mathrm{Li}_{\:\mathrm{2}} \left(\:\sqrt{{x}}\:\right){dx}\:=\:? \\ $$$$ \\ $$ Answered by Olaf_Thorendsen last updated on…
Question Number 147162 by nadovic last updated on 18/Jul/21 Answered by liberty last updated on 18/Jul/21 $$\left(\mathrm{1}\right)\overset{\rightarrow} {{p}}=\frac{\mathrm{2}}{\mathrm{5}}\overset{\rightarrow} {{a}}+\frac{\mathrm{1}}{\mathrm{5}}\overset{\rightarrow} {{b}}+\frac{\mathrm{2}}{\mathrm{5}}\overset{\rightarrow} {{c}} \\ $$$$\left(\mathrm{2}\right)\overset{\rightarrow} {{p}}.\overset{\rightarrow} {{b}}=\overset{\rightarrow}…
Question Number 16055 by Tinkutara last updated on 17/Jun/17 $$\mathrm{Let}\:{A}',\:{B}'\:\mathrm{and}\:{C}'\:\mathrm{be}\:\mathrm{the}\:\mathrm{midpoints}\:\mathrm{of} \\ $$$$\mathrm{the}\:\mathrm{sides}\:{BC},\:{CA}\:\mathrm{and}\:{AB}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{triangle}\:{ABC}.\:\mathrm{Prove}\:\mathrm{that} \\ $$$$\overset{\rightarrow} {{AA}'}\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left(\overset{\rightarrow} {{AB}}\:+\:\overset{\rightarrow} {{AC}}\right) \\ $$ Answered by mrW1 last…
Question Number 81498 by jagoll last updated on 13/Feb/20 $$\mathrm{what}\:\mathrm{the}\:\mathrm{formula} \\ $$$$\bar {\mathrm{a}}\:×\:\left(\bar {\mathrm{b}}×\bar {\mathrm{c}}\right)\:? \\ $$ Answered by TANMAY PANACEA last updated on 13/Feb/20…
Question Number 81295 by jagoll last updated on 11/Feb/20 $${what}\:{is}\:{vector}\:{unit}\:{orthogonal} \\ $$$${to}\:\left(\mathrm{1},\mathrm{2},−\mathrm{2}\right)\:{and}\:{parallel}\:{to}\: \\ $$$${yz}−{plane}? \\ $$ Commented by john santu last updated on 11/Feb/20 $${say}\:{this}\:{vector}\:\bar…
Question Number 81104 by jagoll last updated on 09/Feb/20 $$\left(\bar {{a}}\:×\bar {{b}}\:\right).\bar {{c}}\:=\:\left({a}×{c}\right)\:.\:\left({b}×{c}\right).\:{it}\:{right}? \\ $$ Commented by mr W last updated on 09/Feb/20 $${yes}.\:{an}\:{example}\:{for}\:{its}\:{application} \\…
Question Number 81007 by M±th+et£s last updated on 08/Feb/20 $${if}\:\:\:{t}_{{m}} +{t}_{{n}} \:{and}\:{t}_{{m}} −{t}_{{n}} \:{is}\:{triangular} \\ $$$${number}\:{find}\:{the}\:{value}\:{of}\:{m}+{n} \\ $$ Commented by MJS last updated on 08/Feb/20…