Calculus and vectorsHelp~David
posted by Jake on .
Rectangular prism is defined by vectors (2,0,0)(0,9,5) and (0,0,3). Find the volume.
I have done this so far, would anyone please verify this.
(2,0,0)(0,9,6)
(02, 90, 60)
=(2,9,6)
(2,9,6)(0,0,3)
=(2,9,3)
(2)(9)(3)=54 cm^3
Therefore volume is 54 cm^3

54 cm^3 is the correct answer
I do it differently:
if given 3 vectors a, b, and c
volume of parallelepiped
= a . (b X c) 
(2,0,0) X (0,0,3) = (0, 6, 0)
volume = (0,9,5) . (0,6,0) 
= 054+0 = 54 
Thank you very much!