Find the volume of the parallelepiped determined by the vectors a, b, and c. a = 2i + 4j - 3k, b = 2i - 2j + 2k, c = -4i + 4j + 4k 144 cubic units Find the volume of the parallelepiped with adjacent edges PQ, PR, PS. P(1, 0, 3), Q(-5, 2, 7), R(4, 3, 2), S(-1, 4, 5) cubic units
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PQ = Q - P = (-5 - 1)i + (2 - 0)j + (7 - 3)k = -6i + 2j + 4k PR = R - P = (4 - 1)i + (3 - 0)j + (2 - 3)k = 3i + 3j - 1k PS = S - P = (-1 - 1)i + (4 - 0)j + (5 - 3)k = -2i + 4j + 2k Now, we need to find the volume of the parallelepiped determined by these Show more…
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