Walker, Halliday & Resnick — Vectors: Problem 40

40 Displacement \(\vec{d_1}\) is in the \(yz\) plane 63.0° from the positive direction of the \(y\) axis, has a positive \(z\) component, and has a magnitude of 4.80 m. Displacement \(\vec{d_2}\) is in the \(xz\) plane 30.0° from the positive direction of the \(x\) axis, has a positive \(z\) component, and has magnitude 1.40 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 \(\vec{d_2}\)?