Find the area of the parallelogram with corner \( P_1\) and adjacent sides \( P_1 P_2\) and \( P_1 P_3\)
\( P_1 =(1,2,0)\), \( P_2= (-1,4,2)\), \( P_3=(-3,-1,3)\)
If u and v are nonzero vectors in space, then|\( \| u\times v\|\) is the area of the parallelogram having u and v as adjacent sides.
u = \( P_1\space P_2 = -2i+2j+2k\)
How is u equaling that? I thought we times the P1 and p2 but it does not seem to be that way...

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I can figure out the rest but not sure how they got u

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