Chapter 1: Exercises (1.31 - 1.35)

1.31 A postal employee drives a delivery truck along the route shown in Fig. 1.26. Determine the magnitude and direction of the resultant displacement by drawing a scale diagram. (See also dxercise 1.38 for a different approach to this same problem.)

1.32 For the vectors $\overrightarrow{A}$ and $\overrightarrow{B}$ in Fig. 1.27, use a scale drawing to find the magnitude and direction of a)  the vector sum $\overrightarrow{A} +  \overrightarrow{B}$; b) the vector difference $\overrightarrow{A} - \overrightarrow{B}$. From your answers to parts (a) and (b), find the magnitude and direction of c) $-\overrightarrow{A} -  \overrightarrow{B}$; d) $\overrightarrow{B} - \overrightarrow{A}$ (See also Exercise 1.39 for a different approach to this problem.)

1.33 A spelunker is surveying a cave. She follows a passage 180 m straight west, then 210 m in a direction 45$^\circ$ east of south, and then 280 m at 30$^\circ$ east of north. After a fourth unmeasured displacement, she finds herself back where she started. Use a scale drawing to determine the magnitude and direction of the fourth displacement. (See also Problem 1.69 for a different approach to this problem.)

Section 1.8 Components of Vectors

1.34 Use a scale drawing to find the x- and y- components of the following vectors. For each vector the numbers giver are i) the magnitude of the vector and ii) the angle, measured in the sense from the +x-axis to the +y-axis, that it makes with the +x-axis. Find a) magnitude 9.30 m, angle 60$^\circ$; b) magnitude 22.0 km, angle 135$^\circ$; c) magnitude 6.35 cm, angle 307$^\circ$

1.35 Compute the x- and y-components of the vectors $\overrightarrow{A}$, $\overrightarrow{B}$ and $\overrightarrow{C}$ in Fig. 1.28.