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find the area of the parallelogram spanned by vectors given, pls alo verify answer...

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sara212 | Student, Undergraduate | Salutatorian

Posted July 16, 2013 at 3:00 PM via web

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find the area of the parallelogram spanned by vectors given, pls alo verify answer

6i+3j and 6i-3j

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aruv | High School Teacher | Valedictorian

Posted July 16, 2013 at 3:23 PM (Answer #1)

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Let

`u=6i+3j+0k`

`v=6i-3j+0k`

Where i,j, and k are mutually orthogonal triod.

area of parallelogram spanned by vectors u and v is magnitude of vector u x v .

Thus

`uxxv=|[i,j,k],[6,3,0],[6,-3,0]|`

`=k(-18-18)=-36k`

Thus magnitude of u x v is

`|uxxv|=sqrt((-36)^2)`

`=36` sq.unit

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