The eight vertices of the rectangular prism are as follows. V = (0, 0, 0), V, = (1, 0, 0), V, = (1, 2, 0), V, = (0, 2, 0), %3D %3D %3D V, = (0, 0, 3), V, =(1, 0, 3), V, = (1, 2, 3), Vg = (0, 2, 3). Find the coordinates of the vertices after the prism is rotated counterclockwise about the z-axis through (a) 0 = 60° (b) 0 = 90° (c)and 0 = 120°. %3D

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The eight vertices of the rectangular prism are as follows.
V = (0, 0, 0), V, = (1, 0, 0), V3 = (1, 2, 0), V, = (0, 2, 0),
%3D
%3D
V, = (0, 0, 3), V, = (1, 0, 3), V, = (1, 2, 3), V, = (0, 2, 3).
Find the coordinates of the vertices after the prism is rotated counterclockwise about the z-axis
through (a) 0 = 60° (b) 0 = 90° (c)and 0 = 120°.
Transcribed Image Text:The eight vertices of the rectangular prism are as follows. V = (0, 0, 0), V, = (1, 0, 0), V3 = (1, 2, 0), V, = (0, 2, 0), %3D %3D V, = (0, 0, 3), V, = (1, 0, 3), V, = (1, 2, 3), V, = (0, 2, 3). Find the coordinates of the vertices after the prism is rotated counterclockwise about the z-axis through (a) 0 = 60° (b) 0 = 90° (c)and 0 = 120°.
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