Answer to Question #345537 in Physics for Yabu

Question

If A=6i-8j , B=8i+3j and C=26i+19j determine a and b so that aA+bB+C=0

Answer 1

$$a(6i-8j)+b(8i+3j)+25i+19j=0$$

$$\left\{\begin{matrix} 6a+8b & =-25 \\ -8a+3b & =-19 \end{matrix}\right.$$ $$a=\frac{37}{41},\quad b=\frac{-161}{41}$$