Vectors \(\vec{A}\) and \(\vec{B}\) each have a magnitude of \(5 \mathrm{~m}\) and point to the left. Vector \(\vec{A}\) begins at the origin, while vector \(\vec{B}\) begins at a location \(8 \mathrm{~m}\) to the right of the origin.

(a) If the positive \(x\) axis is pointed to the right, what is the \(x\) component of each vector?

(b) If the positive \(x\) axis is pointed to the left, what is the \(x\) component of each vector?