Let x and y be vectors such that \(\operatorname{proj}_{\mathbf{x}}(\mathbf{y})=\dbinom{5}{3}\) and \(\operatorname{proj}_{\mathbf{y}}(\mathbf{x})=\dbinom{2}{-2}\). Compute the ratio \(\dfrac{\|\mathbf{x}\|}{\|\mathbf{y}\|}\).
An explanation please if possible?
