A postal employee drives a delivery truck over the route shown in Fig. E1.25. Use the method of components to determine the magnitude and direction of her resultant displacement. In a vector-addition diagram (roughly to scale), show that the resultant displacement found from your diagram is in qualitative agreement with the result you obtained by using the method of components.

FIGURE P3.46 shows four electric charges located at the corners of a rectangle. Like charges, you will recall, repel each other while opposite charges attract. Charge B exerts a repulsive force (directly away from B) on charge A of 3.0 N. Charge C exerts an attractive force (directly toward C) on charge A of 6.0 N. Finally, charge D exerts an attractive force of 2.0 N on charge A. Assuming that forces are vectors, what are the magnitude and direction of the net force Fₙₑₜ exerted on charge A?

The minute hand on a watch is 2.0 cm in length. What is the displacement vector of the tip of the minute hand in each case? Use a coordinate system in which the y-axis points toward the 12 on the watch face.b. From 8:00 to 9:00 a.m.

Let $\stackrel{\rightharpoonup }{A}=\widehat{i}+2.0\widehat{j}$, $\stackrel{\rightharpoonup }{B}=-7.0\widehat{i}$, and $\stackrel{\rightharpoonup }{C}=3.0\widehat{i}+\widehat{j}$. What is the direction of $\stackrel{\rightharpoonup }{A}+\stackrel{\rightharpoonup }{B}+\stackrel{\rightharpoonup }{C}$? Express your answer in degrees counter clockwise from the positive x axis.

Let $\stackrel{\rightharpoonup }{A}=\widehat{i}+2.0\widehat{j}$, $\stackrel{\rightharpoonup }{B}=-7.0\widehat{i}$, and $\stackrel{\rightharpoonup }{C}=3.0\widehat{i}+\widehat{j}$. What is the magnitude of $\stackrel{\rightharpoonup }{A}+\stackrel{\rightharpoonup }{B}+\stackrel{\rightharpoonup }{C}$?

For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (d) the vector difference B - A

For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (c) the vector difference A - B

For the vectors A and B in Fig. E1.24 use the method of components to find the magnitude and direction of (a) the vector sum A + B

FIGURE P3.43 shows three ropes tied together in a knot. One of your friends pulls on a rope with 3.0 units of force and another pulls on a second rope with 5.0 units of force. How hard and in what direction must you pull on the third rope to keep the knot from moving? Give the direction as an angle below the negative x-axis.