I am trying to find the rectangular parallelepiped of greatest volume for a given surface area S using Lagrange's method. I tried solving by myself but at x=y=z = a, I am not getting …
$\begingroup$ Good, but there is a mistake in the picture: it seems to suggest that the face the contains $\mathbf a$ and $\mathbf c$ is vertical, while it's not true in general, and the …
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The question: Find the height of the parallelopiped constructed by the vectors $\vec{a} = (1, -1, 1) ...
Matrix determinants can be thought of as the coefficient by which an oriented volume changes under the linear mapping of that matrix. For example, consider Ax = y A x = y. We can …
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