# Question-68591

Question Number 68591 by TawaTawa last updated on 14/Sep/19
Commented by kaivan.ahmadi last updated on 14/Sep/19
$$\mathrm{102}+\mathrm{2}{p}+\mathrm{3}{q}=\mathrm{0} \\$$$$\mathrm{17}+\mathrm{3}{p}−\mathrm{4}{q}=\mathrm{0} \\$$$$\Rightarrow \\$$$$\begin{cases}{\mathrm{2}{p}+\mathrm{3}{q}=−\mathrm{102}}\\{\mathrm{3}{p}−\mathrm{4}{q}=−\mathrm{17}}\end{cases}\Rightarrow\begin{cases}{−\mathrm{6}{p}−\mathrm{9}{q}=\mathrm{306}}\\{\mathrm{6}{p}−\mathrm{8}{q}=−\mathrm{34}}\end{cases}\Rightarrow \\$$$$−\mathrm{17}{q}=\mathrm{272}\Rightarrow{q}=−\mathrm{16} \\$$$${and} \\$$$$\mathrm{2}{p}−\mathrm{48}=−\mathrm{102}\Rightarrow\mathrm{2}{p}=−\mathrm{54}\Rightarrow{p}=−\mathrm{27} \\$$$$\Rightarrow\left({a}\right)\:{is}\:{answer} \\$$
Commented by TawaTawa last updated on 14/Sep/19
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\$$
Commented by TawaTawa last updated on 14/Sep/19
$$\mathrm{How}\:\mathrm{did}\:\mathrm{you}\:\mathrm{get}\:\mathrm{102}\:\mathrm{and}\:\mathrm{17}\:\mathrm{sir} \\$$
Commented by TawaTawa last updated on 14/Sep/19
$$\mathrm{I}\:\mathrm{mean}\:\mathrm{how}\:\mathrm{did}\:\mathrm{he}\:\mathrm{get}\:\mathrm{equation}\:\left(\mathrm{i}\right)\:\mathrm{and}\:\left(\mathrm{ii}\right)\:\mathrm{from}\:\mathrm{the}\:\mathrm{question} \\$$
Commented by kaivan.ahmadi last updated on 14/Sep/19
$${read}\:{inner}\:{product}\:{of}\:{vectors}. \\$$
Commented by kaivan.ahmadi last updated on 14/Sep/19
$$\mathrm{6}×\mathrm{17}+\mathrm{2}×{p}+\mathrm{3}×{q}=\mathrm{0} \\$$$$\mathrm{1}×\mathrm{17}+\mathrm{3}×{p}+\left(−\mathrm{4}\right)×{q}=\mathrm{0} \\$$