Hello everyone
could u plz help me to solve this question :
Use the scalar triple product to find the volume of the parallelopiped with vertices at
(−2,0,0),(2,0,0),(0,2,0),(4,2,0),(−1,1,4),(3,1,4), (1,3,4),(5,3,4) ?
thank u
1. Draw a rough sketch of the parallelepiped.
2. Choose one vertex (for instance (2, 0, 0)) and calculate the vectors representing the edges of the parallelepiped starting from (2, 0, 0).
3. Use the formula
$\displaystyle V=\vec a \cdot (\vec b \times \vec c)$
to calculate the volume of this solid.