Question Number 179054 by Giantyusuf last updated on 24/Oct/22
$${find}\:{the}\:{sum}\:{of}\:{the}\:{following}\:{vectors} \\ $$$$\left({a}\right){AB},\:−{CD},\:{BC}\:{and}\:{CE} \\ $$$$\left({b}\right)\:{PR},\:−{SR},\:{ST}\:{and}\:−{QT}\:\: \\ $$$$\left({c}\right)\:{AC},\mathrm{3}{BC},{CD},\mathrm{3}{CD}\:{and}\:{DA} \\ $$$$\left({d}\right)\:{PQRS}\:{is}\:{a}\:{quadilateral}\:{with}\:{M}\:\&{N}\:{as}\:{the} \\ $$$${mid}−{points}\:{of}\:{SP}\:{and}\:{RQ}\:{respectively}. \\ $$$${Show}\:{that}\:\overset{\rightarrow} {{PS}}+\overset{\rightarrow} {{SR}}=\mathrm{2}\overset{\rightarrow} {{MN}} \\ $$