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<strong>Summer</strong> <strong>Assignment</strong> Selected <strong>Problems</strong> – AP Physics<br />
•9. (a) In unit-vector notation, what is the sum if and<br />
? What are the (b) magnitude and (c) direction of ?<br />
•11. A person desires to reach a point that is 3.40 km from her present location and in a direction<br />
that is 35.0° north of east. However, she must travel along streets that are oriented either north–<br />
south or east–west. What is the minimum distance she could travel to reach her destination?<br />
•13.<br />
Two vectors are given by:<br />
and<br />
In unit-vector notation, find (a) , (b) , and (c) a third vector such<br />
that .<br />
•17. The two vectors and in Fig. 3-30 have equal magnitudes of 10.0 m and the angles<br />
are and . Find the (a) x and (b) y components of their vector sum , (c) the<br />
magnitude of , and (d) the angle makes with the positive direction of the x axis.<br />
FIGURE 3-30 Problem 17.