using A as a vertex, that would be
|(B-A)x(C-A)|
Find the volume of the parallelepiped with the vectors A = 2i + j +3k , B = i -2j + k , C = 3i + 4j+ 2k
as coterminal edges.
3 answers
That would be the scalar triple product
cross-product of <1, -2, 1> with <3, 4, 2> = < -8, 1, 10>
(I assume you know how to find that)
volume = <2, 1, 3> dot < -8, 1, 10>
= -16 + 1 + 30
= 15 cubic units
cross-product of <1, -2, 1> with <3, 4, 2> = < -8, 1, 10>
(I assume you know how to find that)
volume = <2, 1, 3> dot < -8, 1, 10>
= -16 + 1 + 30
= 15 cubic units
rats. Reiny is correct. I was thinking of the area of the base.
1 answer