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Multivariable Calculus

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Determine the Fourth Vertex of a Parallelogram

MVCALC-NTXHRL

Let $A=(0,0,0)$, let $B=(1,2,-1)$, and let $C=(3,2,-3)$. Let $P$ be a parallelogram that has $AB$ and $AC$ as sides.

Determine the coordinates of the fourth vertex $D$ of $P$.