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Category: Vector

E-is-reported-in-i-j-base-e-1-2i-3j-e-2-i-2j-and-e-3-4i-5j-belong-to-E-1-Determinate-the-cordonnates-of-e-3-in-the-base-B-e-1-e-2-

Question Number 88756 by mathocean1 last updated on 12/Apr/20 $$\mathrm{E}\:\mathrm{is}\:\mathrm{reported}\:\mathrm{in}\:\left(\overset{\rightarrow} {\mathrm{i}};\overset{\rightarrow} {\mathrm{j}}\right)\:\mathrm{base}. \\ $$$$\overset{\rightarrow} {\mathrm{e}}_{\mathrm{1}} =\mathrm{2}\overset{\rightarrow} {\mathrm{i}}+\mathrm{3}\overset{\rightarrow} {\mathrm{j}}\:;\:\:\:\overset{\rightarrow} {\mathrm{e}}_{\mathrm{2}} =\overset{\rightarrow} {\mathrm{i}}−\mathrm{2}\overset{\rightarrow} {\mathrm{j}}\:\mathrm{and}\:\:\:\overset{\rightarrow} {\mathrm{e}}_{\mathrm{3}} =\mathrm{4}\overset{\rightarrow} {\mathrm{i}}−\mathrm{5}\overset{\rightarrow}…

Question-88214

Question Number 88214 by M±th+et£s last updated on 09/Apr/20 Answered by ajfour last updated on 09/Apr/20 $${AB}={t}\:\:,\:\:{radius}={r}\:,\:{AD}={DC}={b} \\ $$$${upper}\:{section}\:{of}\:{OB}={c} \\ $$$${t}^{\mathrm{2}} =\mathrm{2}{b}^{\mathrm{2}} \:\:\:;\:\:\:\mathrm{tan}\:\alpha=\frac{{r}}{{t}+{r}} \\ $$$$\frac{\sqrt{{r}^{\mathrm{2}}…

Question-87759

Question Number 87759 by M±th+et£s last updated on 06/Apr/20 Commented by mr W last updated on 06/Apr/20 $$\Delta{DEC}\sim\Delta{ECF}\sim\Delta{PFE} \\ $$$$\frac{{r}_{{z}} }{{EF}}=\frac{{r}_{{y}} }{{FC}}=\frac{{r}_{{x}} }{{CE}}={k},\:{say} \\ $$$$\Rightarrow{CE}=\frac{{r}_{{x}}…

what-is-2-1-r-if-i-x-j-y-k-z-and-r-i-x-j-y-k-z-

Question Number 87682 by john santu last updated on 05/Apr/20 $$\mathrm{what}\:\mathrm{is}\:\bigtriangledown^{\mathrm{2}} \left(\frac{\mathrm{1}}{\overset{\rightarrow} {\mathrm{r}}}\right)\:\mathrm{if}\: \\ $$$$\overset{\rightarrow} {\bigtriangledown}\:=\:\hat {\mathrm{i}}\:\frac{\partial}{\partial\mathrm{x}}+\hat {\mathrm{j}}\frac{\partial}{\partial\mathrm{y}}+\hat {\mathrm{k}}\:\frac{\partial}{\partial\mathrm{z}} \\ $$$$\mathrm{and}\:\overset{\rightarrow} {\mathrm{r}}\:=\:\hat {\mathrm{i}x}\:+\:\hat {\mathrm{j}y}\:+\:\hat {\mathrm{k}z}\:…