The Cross Product: Examples

1. Find the cross product of <1,2,3>  <-3,-2,-1>

Anwser:

To do this, we must activate the vector package in Maple:

>	with(VectorCalculus);

Then it is simple:

>	<1,2,3> &x <-3,-2,-1>;

2. Find the volume of a parallelepiped defined by the following vectors: <1,1,1>, <1,5,1>, <1,2,6>.

Anwser

Simply use the equation for the area of a parallelepiped and do the requrired operations:

>	<1,1,1>.(<1,5,1>&x<1,2,6>)