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Area of a parallelogram with vectors

 
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Apr8-09, 12:57 PM   #1
 

Area of a parallelogram with vectors


1. The problem statement, all variables and given/known data
Determine the area of the parallelogram spanned by the vectors
< 0, 9, 6 > and < −10, −6, −4 >


2. Relevant equations
Area = A X B

The cross product of < 0, 9, 6 > and < −10, −6, −4 > = 0i - 60j + 90k

3. The attempt at a solution

I know the area is the cross product of A X B, but the examples that I have done did not have a k value. ex <3,-3,0> X <2,3,0> What do I do now that I have a k value?
 
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Apr8-09, 01:39 PM   #2

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Area is a real number. Not a vector. It's |AxB|. You need to find the length of the cross product vector.
 
Apr8-09, 07:39 PM   #3
 
Thank you, I got it.
 
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