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Category: Vector

Question-130537

Question Number 130537 by benjo_mathlover last updated on 26/Jan/21 Answered by EDWIN88 last updated on 26/Jan/21 $$\Leftrightarrow\:\overset{\rightarrow} {{a}}×\left(\overset{\rightarrow} {{b}}×\overset{\rightarrow} {{c}}\right)=\left(\overset{\rightarrow} {{a}}.\overset{\rightarrow} {{c}}\right)\overset{\rightarrow} {{b}}−\left(\overset{\rightarrow} {{a}}.\overset{\rightarrow} {{b}}\right)\overset{\rightarrow}…

1-A-plane-contains-the-lines-x-1-2-4-y-2-z-2-3-and-r-2i-2j-12k-t-i-2j-4k-find-a-the-angle-between-these-lines-b-A-cartesian-equation-of-the-plane-2-Given-the-lines-l-1-

Question Number 63427 by Rio Michael last updated on 04/Jul/19 (1)Aplanecontainsthelinesx+12=4y2=z23andr=(2i+2j+12k)+t(i+2j+4k).find(a)theanglebetweentheselines.(b)Acartesianequationoftheplane.(2)Giventhelinesl1:x103=y11=z94l2:r=(9j+13k)+μ(i+2j3k)$${where}\:\mu\:{is}\:{a}\:{parameter};\:\boldsymbol{{l}}_{\mathrm{3}} :\frac{{x}+\mathrm{10}}{\mathrm{4}}=\frac{{y}+\mathrm{5}}{\mathrm{3}}=\frac{{z}+\mathrm{4}}{\mathrm{1}}. \

Question-128830

Question Number 128830 by bemath last updated on 10/Jan/21 Answered by liberty last updated on 10/Jan/21 leta=b=1;alsoa+b=1$$\:\mathrm{we}\:\mathrm{want}\:\mathrm{to}\:\mathrm{compute}\:\mid\overset{\rightarrow} {{a}}−\overset{\rightarrow} {{b}}\:\mid\:.…