Halliday, Resnick & Walker — Vectors: Problem 40

Displacement \(\vec{d}_1\) is in the \(yz\) plane \(63.0^\circ\) from the positive direction of the \(y\) axis, has a positive \(z\) component, and has a magnitude of \(4.50\text{ m}\). Displacement \(\vec{d}_2\) is in the \(xz\) plane \(30.0^\circ\) from the positive direction of the \(x\) axis, has a positive \(z\) component, and has magnitude \(1.40\text{ m}\). What are (a) \(\vec{d}_1 \cdot \vec{d}_2\), (b) \(\vec{d}_1 \times \vec{d}_2\), and (c) the angle between \(\vec{d}_1\) and \(\vec{d}_2\)?