Question Number 62583 by Jmasanja last updated on 23/Jun/19
$${find}\:{the}\:{vector}\:{sum}\:{of}\:{two}\:{vectors} \\ $$$${of}\:{magnitude}\:{of}\:\mathrm{7}\:{and}\:\mathrm{8}\:{making}\:{an} \\ $$$${angle}\:{of}\:\mathrm{120}°\:{to}\:{each}\:{other} \\ $$
Answered by MJS last updated on 23/Jun/19
$$\begin{pmatrix}{\mathrm{7}}\\{\mathrm{0}}\end{pmatrix}+\begin{pmatrix}{\mathrm{8}}\\{\mathrm{8sin}\:\mathrm{120}°}\end{pmatrix}=\begin{pmatrix}{\mathrm{15}}\\{\mathrm{4}\sqrt{\mathrm{3}}}\end{pmatrix} \\ $$$$\mathrm{its}\:\mathrm{magnitude}\:\mathrm{is}\:\sqrt{\mathrm{273}} \\ $$