3 years ago

Find the volume. rectangular solid—l = 10 ft.; w = 6 ft.; h = 3 ft.

Mathematics

1 answer:

Gala2k [10]3 years ago

7 0

The volume of the rectangle is 180 ft.

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Step-by-step explanation:

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Take the cross product, then normalize the result.

$\mathbf a\times\mathbf b=\begin{vmatrix}\mathbf i&\mathbf j&\mathbf k\\1&7&1\\1&11&1\end{vmatrix}=-4\,\mathbf i+4\,\mathbf k$

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and so a unit vector orthogonal to both given vectors is

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An equally correct answer would be the negative of this vector, since $\mathbf b\times\mathbf a=-\mathbf a\times\mathbf b$ .

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