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Category: Vector

the-vector-equations-of-two-lines-l-1-and-l-2-are-given-by-l-1-r-5i-j-k-3i-2j-l-2-r-2i-3j-2k-2j-k-find-thd-position-vdctor-of-intersection-of-thf-linds-l-1-and-l-2-thd-cartesian-equatkon

Question Number 98018 by hardylanes last updated on 11/Jun/20 $${the}\:{vector}\:{equations}\:{of}\:{two}\:{lines}\:{l}_{\mathrm{1}} \:{and}\:{l}_{\mathrm{2}} \:{are}\:{given}\:{by} \\ $$$${l}_{\mathrm{1}} :{r}=\mathrm{5}{i}−{j}+{k}+\lambda\left(−\mathrm{3}{i}+\mathrm{2}{j}\right) \\ $$$${l}_{\mathrm{2}} :{r}=\mathrm{2}{i}+\mathrm{3}{j}+\mathrm{2}{k}+\mu\left(\mathrm{2}{j}+{k}\right) \\ $$$${find} \\ $$$${thd}\:{position}\:{vdctor}\:{of}\:{intersection}\:{of}\:{thf}\:{linds}\:{l}_{\mathrm{1}} \:{and}\:{l}_{\mathrm{2}} \: \\…

Find-the-shortest-distance-from-the-point-P-2-3-5-to-the-line-L-x-3-2-y-1-3-z-2-4-

Question Number 96240 by mr W last updated on 30/May/20 $${Find}\:{the}\:{shortest}\:{distance}\:{from}\:{the} \\ $$$${point}\:{P}\left(\mathrm{2},−\mathrm{3},\mathrm{5}\right)\:{to}\:{the}\:{line}\:{L} \\ $$$$\frac{{x}+\mathrm{3}}{\mathrm{2}}=\frac{{y}−\mathrm{1}}{−\mathrm{3}}=\frac{{z}−\mathrm{2}}{\mathrm{4}} \\ $$ Answered by 1549442205 last updated on 31/May/20 $$\mathrm{Denote}\:\mathrm{Q}\:\mathrm{be}\:\mathrm{the}\:\mathrm{point}\:\mathrm{on}\:\mathrm{L}\:\mathrm{such}\:\mathrm{that}…

A-ector-field-is-given-by-v-x-2-y-2-x-i-2xy-y-j-Show-that-vector-v-is-irrotational-hence-find-the-scalar-potential-

Question Number 161450 by Odhiambojr last updated on 18/Dec/21 $$\mathrm{A}\: \mathrm{ector}\:\mathrm{field}\:\mathrm{is}\:\mathrm{given}\:\mathrm{by}\:\mathrm{v}= \\ $$$$\left(\mathrm{x}^{\mathrm{2}} −\mathrm{y}^{\mathrm{2}} +\mathrm{x}\right)\mathrm{i}−\left(\mathrm{2xy}+\mathrm{y}\right)\mathrm{j}.\:\mathrm{Show}\:\mathrm{that} \\ $$$$\mathrm{vector}\:\mathrm{v}\:\mathrm{is}\:\mathrm{irrotational}\:\mathrm{hence}\:\mathrm{find} \\ $$$$\:\mathrm{the}\:\mathrm{scalar}\:\mathrm{potential} \\ $$ Terms of Service Privacy…

determine-the-value-of-k-such-that-the-point-A-4-2-6-B-0-1-0-C-1-0-5-and-D-1-k-2-lie-on-the-same-plane-

Question Number 95342 by i jagooll last updated on 24/May/20 $$\mathrm{determine}\:\mathrm{the}\:\mathrm{value}\:\mathrm{of}\:\mathrm{k}\:\mathrm{such}\:\mathrm{that}\: \\ $$$$\mathrm{the}\:\mathrm{point}\:\mathrm{A}\left(\mathrm{4},−\mathrm{2},\mathrm{6}\right)\:\mathrm{B}\left(\mathrm{0},\mathrm{1},\mathrm{0}\right)\:\mathrm{C}\left(\mathrm{1},\mathrm{0},−\mathrm{5}\right) \\ $$$$\mathrm{and}\:\mathrm{D}\left(\mathrm{1},\mathrm{k},−\mathrm{2}\right)\:\mathrm{lie}\:\mathrm{on}\:\mathrm{the}\:\mathrm{same} \\ $$$$\mathrm{plane}\: \\ $$ Answered by john santu last updated…

a-b-40-a-b-20-amp-a-10-then-find-b-

Question Number 28695 by yesaditya22@gmail.com last updated on 29/Jan/18 $$\mid\overset{\rightarrow} {\mathrm{a}}+\overset{\rightarrow} {\mathrm{b}}\mid=\mathrm{40},\mid\overset{\rightarrow} {\mathrm{a}}−\overset{\rightarrow} {\mathrm{b}}\mid=\mathrm{20\&}\mid\overset{\rightarrow} {\mathrm{a}}\mid=\mathrm{10}\:\mathrm{then}\:\mathrm{find}\mid\overset{\rightarrow} {\mathrm{b}}\mid \\ $$ Answered by mrW2 last updated on 29/Jan/18…