Question

The volume of the cuboid in which 3 adjacent edges on it are represented by `vecA(3,-4,0)`,`vecB(0,-4,3)`,`vecC(0,0,5)` equals.....cubic units?

Answer 1

`V = 60 " cu"`

Explanation:

Volume, `V`, of parallelepiped is the (absolute value of the) scalar triple product `(bb A times bb B) * bb C`

I.e.:

• `V = abs( (bb A times bb B) * bb C)`

Here:

`(bb A times bb B) * bb C = det [(0,0,5),(3, -4 , 0),(0, -4 , 3)]`

`= - 60`

`implies V = 60 " cu"`