Cube (Definition, Shape, Properties, Volume and Surface Area, Examples)
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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 (Fig: P1.80). 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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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 (Fig. P1.91). Use vectors to compute (a) the angle between the edge along the z-axis (line a b ) and the diagonal from the origin to the opposite corner (line a d ), and (b) the angle between line a c (the diagonal of a face) and line a d. | Numerade
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