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Question-118083

Question Number 118083 by pramod1977 last updated on 15/Oct/20 Answered by bemath last updated on 15/Oct/20 $$\mathrm{let}\:\overset{\rightarrow} {\mathrm{a}}=\left(\mathrm{2},\mathrm{1},−\mathrm{2}\right)=\mathrm{diagonal}\:\mathrm{and}\:\overset{\rightarrow} {\mathrm{b}}=\left(\mathrm{3},\mathrm{1},−\mathrm{1}\right)=\mathrm{side} \\ $$$$\mathrm{The}\:\mathrm{area}\:\mathrm{of}\:\mathrm{parallelogram}\:=\:\mid\overset{\rightarrow} {\mathrm{a}}\:×\overset{\rightarrow} {\mathrm{b}}\:\mid \\ $$$$\mathrm{where}\:\overset{\rightarrow}…

Please-help-John-travels-a-distance-of-24km-from-twon-A-on-a-bearing-of-060-to-town-B-He-then-travels-a-distance-of-18km-to-town-C-which-is-30km-east-of-town-A-i-what-is-the-bearing-of-town-C-f

Question Number 52520 by byaw last updated on 10/Jan/19 $$\mathrm{Please}\:\mathrm{he}{lp} \\ $$$$\:\mathrm{John}\:\mathrm{travels}\:\mathrm{a}\:\mathrm{distance}\:\mathrm{of}\:\mathrm{24km} \\ $$$$\mathrm{from}\:\mathrm{twon}\:\mathrm{A}\:\mathrm{on}\:\mathrm{a}\:\mathrm{bearing}\:\mathrm{of}\:\mathrm{060}°\:\mathrm{to} \\ $$$$\mathrm{town}\:\mathrm{B}.\:\mathrm{He}\:\mathrm{then}\:\mathrm{travels}\:\mathrm{a}\:\mathrm{distance} \\ $$$$\mathrm{of}\:\mathrm{18km}\:\mathrm{to}\:\mathrm{town}\:\mathrm{C},\:\mathrm{which}\:\mathrm{is}\:\mathrm{30km} \\ $$$$\mathrm{east}\:\mathrm{of}\:\mathrm{town}\:\mathrm{A}. \\ $$$$\left(\mathrm{i}\right)\:\mathrm{what}\:\mathrm{is}\:\mathrm{the}\:\mathrm{bearing}\:\mathrm{of}\:\mathrm{town}\:\mathrm{C}\:\mathrm{from} \\ $$$$\:\:\:\:\:\:\:\mathrm{town}\:\mathrm{B}? \\…

Help-A-beam-being-lifted-by-two-forces-where-F1makes-an-angle-of-23-degrees-with-the-y-axis-acts-in-the-second-quadrant-F2-acts-in-the-first-quadrant-making-an-angle-of-32-degrees-with-t

Question Number 183293 by neinhaltsieger369 last updated on 24/Dec/22 $$\: \\ $$$$\:\mathrm{Help}! \\ $$$$\: \\ $$$$\:\mathrm{A}\:\mathrm{beam}\:\mathrm{being}\:\mathrm{lifted}\:\mathrm{by}\:\mathrm{two}\:\mathrm{forces}\:\mathrm{where}\: \\ $$$$\:\mathrm{F1makes}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{23}°\:\mathrm{degrees}\:\mathrm{with}\:\mathrm{the}\:\mathrm{y} \\ $$$$\:\mathrm{axis}\:\mathrm{acts}\:\mathrm{in}\:\mathrm{the}\:\mathrm{second}\:\mathrm{quadrant}\:\mathrm{F2}\:\mathrm{acts}\:\mathrm{in} \\ $$$$\:\mathrm{the}\:\mathrm{first}\:\mathrm{quadrant}\:\mathrm{making}\:\mathrm{an}\:\mathrm{angle}\:\mathrm{of}\:\mathrm{32}° \\ $$$$\:\mathrm{degrees}\:\mathrm{with}\:\mathrm{the}\:\mathrm{y}\:\mathrm{axis}\:\mathrm{and}\:\mathrm{the}\:\mathrm{resultant} \\…

If-vector-a-b-c-0-a-7-b-3-and-c-5-find-the-angle-vector-a-and-c-

Question Number 117543 by bemath last updated on 12/Oct/20 $$\mathrm{If}\:\mathrm{vector}\:\overset{\rightarrow} {\mathrm{a}}+\overset{\rightarrow} {\mathrm{b}}+\overset{\rightarrow} {\mathrm{c}}=\mathrm{0} \\ $$$$\mid\overset{\rightarrow} {\mathrm{a}}\mid=\mathrm{7},\:\mid\overset{\rightarrow} {\mathrm{b}}\mid=\mathrm{3}\:\mathrm{and}\:\mid\overset{\rightarrow} {\mathrm{c}}\mid=\mathrm{5} \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{angle}\:\mathrm{vector}\:\overset{\rightarrow} {\mathrm{a}}\:\mathrm{and}\:\overset{\rightarrow} {\mathrm{c}}\:? \\ $$ Answered…