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Unformatted text preview: 30.0° west of north, and finally walk 1.00km at 40.0° north of east, where you
find the treasure: a biography of Isaac Newton! (a) To return to the old oak tree, in what direction
should you head and how far should you walk? Use components to solve this problem. (b) To see
whether your calculation in part (a) is reasonable, check it with a graphical solution drawn roughly to
scale. EX 1.91:
A cube is placed so that one corner is at the origin and three edges are along the x-, y-, and z-axes of a
coordinate system. Use vectors to compute (a) the angle between the edge along the z-axis (line ab) and
the diagonal from the origin to the opposite corner (line ad), and (b) the angle between line ac (the
diagonal of a face) and line ad....
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