(Direction cosines) If a vector u in R3 makes angles ?, ?, a
Question and Solution
(Direction cosines) If a vector u in R3 makes angles ?, ?, and with the coordinate axes, show that uO D cos ?i C cos ?j
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(Direction cosines) If a vector u in R3 makes angles ?, ?, and with the coordinate axes, show that uO D cos ?i C cos ?j C cos k is a unit vector in the direction of u, so cos2 ? C cos2 ? C cos2 D 1. The numbers cos ?, cos ?, and cos are called the direction cosines of u.
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