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 | (Level 2) Valedictorian

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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.

Sources:

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