Determine the volume of the parallelopiped determined by the vectors a=< −6,3,2> and b=< −2,10,−5> and c=< 1,10,−3> .

The volume of the parallelopiped is 213 cubic units.

Step-by-step explanation:

The given vectors are A=<−6,3,2> and B=<−2,10,−5> and C=<1,10,−3>.

If three vectors are given then volume of the parallelopiped is

Using the above formula we get

Expand along row 1.

Volume of the parallelopiped is

Therefore, the volume of the parallelopiped is 213 cubic units.

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2