Asked by Anonymous
Find the volume of the parallelepiped with the vectors A = 2i + j +3k , B = i -2j + k , C = 3i + 4j+ 2k
as coterminal edges.
as coterminal edges.
Answers
Answered by
oobleck
using A as a vertex, that would be
|(B-A)x(C-A)|
|(B-A)x(C-A)|
Answered by
Reiny
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
Answered by
oobleck
rats. Reiny is correct. I was thinking of the area of the base.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.