Physics - Vectors Question with Solution | TestHub

For two vectors $\vec{A}$ and $\vec{B}$ to have the same direction, their corresponding components must be proportional with a positive ratio.

$\frac{A_x}{B_x}=\frac{A_y}{B_y}=\frac{A_z}{B_z}$

Substituting the given values:

$\frac{2}{2}=\frac{-2}{-m}=\frac{8}{8}$

$1=\frac{2}{m}=1$

$m=2$

Answer: $2$