Question

Determine the values of x and y which the vectors are parallel

Answer 1

\[\left(\begin{matrix}x \\ -3\\7\end{matrix}\right)\] \[\left(\begin{matrix}-4 \\ 2\\y\end{matrix}\right)\]

Answer 2

parellel vector have 0 dot product

so let's take dot product of two vector

-4x-6+7y=0

-4x+7y=6