Posted by Jake on Thursday, March 22, 2012 at 11:25pm.
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

Calculus and vectorsHelp~David  Reiny, Friday, March 23, 2012 at 12:04am
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

Calculus and vectorsHelp~David  Jake, Friday, March 23, 2012 at 12:09am
Thank you very much!
Answer This Question
Related Questions
 Calculus  A rectangular prism is defined by vectors (2,0,0) (0,9,6) and (0,0,3...
 Calculus and vectors  Please, help I don't understand vectors T.T 1. In the ...
 Calculus and vectors  Could someone explain to me how I can find the area/...
 math  two vectors are defined as a=2i+xj and b=i4j. find value of x if a) the ...
 math  two vectors are defined as a=2i+xj and b=i4j. find value of x if a) the ...
 algebra  In a rectangular prism, the length and width are multiplied by 4. What...
 Algebra 2  The formula for the volume of a rectangular prism is V = lwh. A ...
 Algebra 2  The formula for the volume of a rectangular prism is V = lwh. A ...
 Calc and Vectors  Find the volume of a parallelepiped with 3 edges defined by...
 geometry  Two similar rectangular prisms have a scale factor of 4:9. The ...
More Related Questions