Category: Vector Calculus

Question Number 75101 by Rio Michael last updated on 07/Dec/19 $${the}\:{vector}\:{equations}\:{of}\:{two}\:{lines}\:{L}_{\mathrm{1}} \:{and}\:{L}_{\mathrm{2}} \:{is}\:{given}\:{by} \\ $$$$\:{L}_{\mathrm{1}} :{r}=\:\boldsymbol{{i}}−\boldsymbol{{j}}+\mathrm{3}\boldsymbol{{k}}\:+\:\lambda\left(\boldsymbol{{i}}−\boldsymbol{{j}}\:+\boldsymbol{{k}}\right) \\ $$$${L}_{\mathrm{2}} \::\:{r}=\:\mathrm{2}\boldsymbol{{i}}+{a}\boldsymbol{{j}}\:+\:\mathrm{6}\boldsymbol{{k}}\:+\:\mu\left(\mathrm{2}\boldsymbol{{i}}\:+\:\boldsymbol{{j}}\:+\:\mathrm{3}\boldsymbol{{k}}\right) \\ $$$${where}\:{a},\lambda,\mu\:{are}\:{real}\:{constants}. \\ $$$${given}\:{that}\:{L}_{\mathrm{1}} \:{and}\:{L}_{\mathrm{2}} \:{intersect}\:{find}…

Question Number 137627 by rs4089 last updated on 04/Apr/21 Answered by MrGaster last updated on 16/Feb/25 $$ \\ $$$$\mathrm{Prove}:\frac{{d}}{{dt}}\left[\overset{\rightarrow} {{u}}\frac{{d}\overset{\rightarrow} {{u}}}{{dt}}\right]=\overset{\rightarrow} {{u}}\frac{{d}^{\mathrm{2}} \overset{\rightarrow} {{u}}}{{dt}^{\mathrm{2}} }+\frac{{d}\overset{\rightarrow}…

Question Number 5809 by Apoorva last updated on 28/May/16 Commented by Apoorva last updated on 28/May/16 $${please}\:{solve}\:{this}\:{limit} \\ $$ Answered by Yozzii last updated on…

Question Number 5466 by 3 last updated on 15/May/16 $$\sqrt{\mathrm{8}} \\ $$ Answered by FilupSmith last updated on 15/May/16 $$\sqrt{\mathrm{8}}=\sqrt{\mathrm{4}×\mathrm{2}} \\ $$$$=\sqrt{\mathrm{4}}\sqrt{\mathrm{2}} \\ $$$$\therefore\sqrt{\mathrm{8}}=\mathrm{2}\sqrt{\mathrm{2}} \\…

Question Number 5455 by 3 last updated on 15/May/16 $$\mathrm{5} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com