Question: STEREOMETRY 1. Let ABCAlBiCi be a triangular prism. Find the angle between: a. AB and CC1 b. AB and CiBi 2. Let ABCDAlBiCiD1 be a

STEREOMETRY 1. Let ABCAlBiCi be a triangular prism. Find the angle between: a. AB and CC1 b. AB and CiBi 2. Let ABCDAlBiCiD1 be a cube. Find the angle between: a. AB and DD1 b. AC and DiCi c. BC1 and DD1 d. BD and AlC1 e. BC and CD1 3. Let ABCDAlBiCiDi be a right cuboid. Prove that: a. AB and CiDi are parallel; b. AB1 and DC1 are parallel; c. AC and DD1 are perpendicular; d. BD and CC1 are perpendicular. 4. Let ABCM be a regular triangular pyramid. Prove that: a. AB and CM are skew lines; b. BC and AM are skew lines; c. AC and BM are skew lines. 5. Let ABCDM be a regular quadrilateral pyramid. Find the angle between: a. AB and CM; b. BC and DM; c. CD and BM; d. AD and CM

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