Area of a parallelogram with vectors

[ganondorf29]

Homework Statement

Determine the area of the parallelogram spanned by the vectors
< 0, 9, 6 > and < −10, −6, −4 >

Homework Equations

Area = A X B

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

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?

 

[Dick]

Area is a real number. Not a vector. It's |AxB|. You need to find the length of the cross product vector.

 

[ganondorf29]

Thank you, I got it.