- #1

EternusVia

- 93

- 10

## Homework Statement

What is the volume of the parallelepiped with vertices (3, 0, −1), (4, 2, −1), (−1, 1, 0), (3, 1, 5), (0, 3, 0), (4, 3, 5), (−1, 2, 6), and (0, 4, 6)?

## Homework Equations

The volume of a parallelepiped is given by the triple scalar product, (a × b) ⋅ c

## The Attempt at a Solution

I know how to compute this problem, but I'm not sure how to go from the points given to the correct vectors. Is the best solution to plot the points and then determine the correct vectors for the triple scalar product?

My other thought is to create all possible vectors and reason through which must be opposing sides.

Basically I'm asking to see if you guys know any quick tricks for determining the correct vectors.

Thanks!

Nick