## Related questions with answers

Question

If a parallelepiped with sides $\overline{DE}, \overline{DF}$, and $\overline{DG}$ has "7ero volume." what can you say about points D, E,F and $G$ ?

Solutions

VerifiedSolution A

Solution B

Answered 8 months ago

Step 1

1 of 5We need to make a conclusion about points $D$, $E$, $F$, and $G$ if the parallelepiped with sides $\overline{DE}$, $\overline{DF}$, and $\overline{DG}$ has “zero volume.”

*What does it mean for a parallelepiped to have a volume of zero?*

Step 1

1 of 3The volume of a parallelepiped which has vectors

$(a_{1},b_{1}, c_{1}),\ (a_{2},b_{2}, c_{2})$ and $(a_{3},b_{3}, c_{3})$ as sides at a common vertex,

is the absolute value of $\left|

$\begin{array}{lll} a_{1} & b_{1} & c_{1}\\ a_{2} & b_{2} & c_{2}\\ a_{3} & b_{3} & c_{3} \end{array}$

\right|.

$

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