Chapter 3, Problem 52P

To determine

To find:

a) The displacement $\overrightarrow{\mathrm{r}}=\mathrm{ }\overrightarrow{{\mathrm{d}}_1}-\mathrm{ }\overrightarrow{{\mathrm{d}}_2}+\overrightarrow{{\mathrm{d}}_3}$

b) The angle between $\overrightarrow{\mathrm{r}}$ and the positive z axis as θ

c) The component of $\overrightarrow{{\mathrm{d}}_1}$ along the direction of  $\overrightarrow{{\mathrm{d}}_2}=\overrightarrow{{\mathrm{d}}_{\Vert }}$

d) The component of $\overrightarrow{{\mathrm{d}}_1}$ in the perpendicular direction of $\overrightarrow{{\mathrm{d}}_2}=\overrightarrow{{\mathrm{d}}_{\perp }}$