please help me verify if the vectors $\displaystyle \vec{a}=4i+3j$ and $\displaystyle \vec{b}=\frac{-1}{3}i+\frac{-1}{4}j$ are parrallel. $\displaystyle \frac{-1}{12}*\vec{a}=\vec{b}$ So, does this prove they are parrallel?
Yes it does. $\displaystyle k*\vec{a}$ (k being a scaler) only extends, shortens or reverses the vector. The line that the vector is on doesn't change.