Concept explainers
between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle
(a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations:
(b) Show that the distance of point
(c) Show that the distance between points
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