Consider the following points.

$A(2,2,2),B(5,-2,6),C(7,0,1),D(4,4,-3)$

Let $u=$vec$(AB),v=$vec$(AC),$ and $w=$vec$(AD).$ Find each of these vectors.

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$v=$

$$

$w=$

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Find the scalar triple product $u*(vw).$

$u*(vw)=$

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Do the given points $A,B,C,$ and $D$ all lie in the same plane?

Yes, they lie in the same plane.

No$,$ they do not lie in the same plane.