The volume of a right triangular prism is equal to 3

MATHEMATICS · Single correct · A Level · Mathematics · Vectors · Vectors

Problem

The volume of a right triangular prism ABCA1B1C1ABCA_1B_1C_1 is equal to 3. Find the coordinates of the vertex A1A_1 , if the coordinates of the base vertices of the prism are A(1,0,1)A(1, 0, 1) , B(2,0,0)B(2, 0, 0) and C(0,1,0)C(0, 1, 0) . (1) (−2,0,2)(-2, 0, 2) (2) (0,−2,0)(0, -2, 0) (3) (0,2,0)(0, 2, 0) (4) (2,2,2)(2, 2, 2)

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