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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 2:54 PM via web

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

 u=`<< 2,8>>` `` and v=`<< 15,3>>`

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aruv | High School Teacher | Valedictorian

Posted July 16, 2013 at 3:14 PM (Answer #1)

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Let

`u=2i+8j+0k`

`v=15i+3j+0k`

where i,j and k are mutually orthogonal triod.

Thus area of parallelogram spanned by vectors u and v is

magnitude of u x v .

`uxxv=|[i,j,k],[2,8,0],[15,3,0]|`

`=k(3.2-15.8)`

`=-114k`

Thus magnitude of u x v s

`|uxxv|=sqrt((-114)^2)`

`=114` sq unit.

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