Halliday, Resnick & Walker — Vectors: Problem 47

Vectors \(\vec{A}\) and \(\vec{B}\) lie in an \(xy\) plane. \(\vec{A}\) has magnitude \(8.00\) and angle \(130^\circ\); \(\vec{B}\) has components \(B_x = -7.72\) and \(B_y = -9.20\). What are the angles between the negative direction of the \(y\) axis and (a) the direction of \(\vec{A}\), (b) the direction of the product \(\vec{A} \times \vec{B}\), and (c) the direction of \(\vec{A} \times (\vec{B} + 3.00\hat{k})\)?