Question Number 8390 by tawakalitu last updated on 09/Oct/16
Answered by fernandodantas1996 last updated on 12/Oct/16
$$ \\ $$$$\: \\ $$$$\left.\mathrm{i}\right)\:\overset{\rightarrow} {\mathrm{F}}+\overset{\rightarrow} {\mathrm{P}}\:=\:\mathrm{6i}\:+\:\mathrm{4j}\:−\:\mathrm{k}\:\Rightarrow\: \\ $$$$\Rightarrow\:\parallel\overset{\rightarrow} {\mathrm{F}}+\overset{\rightarrow} {\mathrm{P}}\parallel=\sqrt{\mathrm{6}^{\mathrm{2}} +\mathrm{4}^{\mathrm{2}} +\left(−\mathrm{1}\right)^{\mathrm{2}} }=\sqrt{\mathrm{36}+\mathrm{16}+\mathrm{1}}=\sqrt{\mathrm{53}} \\ $$$$ \\ $$$$\left.\mathrm{ii}\right)\:\frac{\mathrm{6i}\:+\:\mathrm{4j}\:−\:\mathrm{k}}{\sqrt{\mathrm{53}}}\:\mathrm{is}\:\mathrm{the}\:\mathrm{unit}\:\mathrm{force} \\ $$