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Category: Vector

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…

find-k-if-the-vector-1-2-k-in-R-3-be-a-linear-combination-of-the-vectors-3-0-2-amp-2-1-5-

Question Number 93874 by i jagooll last updated on 15/May/20 $$\mathrm{find}\:\mathrm{k}\:\mathrm{if}\:\mathrm{the}\:\mathrm{vector}\:\left(\bar {\mathrm{1}}−\mathrm{2},\mathrm{k}\right)\:\mathrm{in}\:\mathbb{R}^{\mathrm{3}} \\ $$$$\mathrm{be}\:\mathrm{a}\:\mathrm{linear}\:\mathrm{combination}\:\mathrm{of}\:\mathrm{the} \\ $$$$\mathrm{vectors}\:\left(\mathrm{3},\mathrm{0},\mathrm{2}\right)\:\&\left(\mathrm{2},−\mathrm{1},−\mathrm{5}\right)\: \\ $$ Commented by i jagooll last updated on…

lim-x-1-x-2-1-1-x-2-4-1-x-2-9-

Question Number 159276 by amin96 last updated on 14/Nov/21 $$\underset{{x}\rightarrow\infty} {\mathrm{lim}}\left(\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{1}}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{4}}+\frac{\mathrm{1}}{{x}^{\mathrm{2}} +\mathrm{9}}+\ldots\right)=? \\ $$ Answered by Ar Brandon last updated on 14/Nov/21 $$=\underset{{x}\rightarrow\infty}…