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Category: Vector

Question-126567

Question Number 126567 by sdfg last updated on 21/Dec/20 Answered by physicstutes last updated on 22/Dec/20 A=(k,k)andB=(3,4)A.B=A∣∣Bcosθ3k+4k=k$$\Rightarrow\:{k}\:=\:\sqrt{{k}^{\mathrm{2}} +{k}^{\mathrm{2}} }\:.\sqrt{\left(−\mathrm{3}\right)^{\mathrm{2}}…

Question-126475

Question Number 126475 by sdfg last updated on 20/Dec/20 Answered by physicstutes last updated on 20/Dec/20 (a)a=ΔvΔt=[(10j)(10i+20j)]ms1(40)s=[(104)i(104)j]ms2ora=(52i52j)ms2ofcourseassumingweareusingSIbaseunits.$$\:\left(\mathrm{b}\right)\:\boldsymbol{\mathrm{r}}\:=\:\boldsymbol{\mathrm{r}}_{\mathrm{0}} +\:\:\boldsymbol{\mathrm{v}}_{\mathrm{0}} {t}\:+\:\frac{\mathrm{1}}{\mathrm{2}}\boldsymbol{\mathrm{a}}\:{t}^{\mathrm{2}}…

Question-126414

Question Number 126414 by sdfg last updated on 20/Dec/20 Answered by physicstutes last updated on 20/Dec/20 Q2.normallyweshouldbecomputingA×BtheunitvectorncouldbeanyunitvectortheyaremillionsofthemsoiguesswecannotgetaspecificA×BvectorbutwecangetA×Bthus:$$\:\mid\boldsymbol{\mathrm{A}}×\boldsymbol{\mathrm{B}}\mid\:=\:\mid\boldsymbol{\mathrm{A}}\mid\mid\boldsymbol{\mathrm{B}}\mid\:\mathrm{sin}\:\theta\:\mid\:\overset{\wedge} {\boldsymbol{\mathrm{n}}}\mid…