Answer
The given points are coplanar.
Work Step by Step
The points are coplanar if $AB \cdot (AC \times AD)=0$
$AB= \lt 2,-4,4 \gt$,
$AC= \lt 4,-1,-2 \gt$,
$AD= \lt 2,3,-6 \gt$
$AC \times AD=\lt 4,-1,-2 \gt \times\lt 2,3,-6 = \lt 12,20,14 \gt$
$AB \cdot (AC \times AD)= \lt 2,-4,4 \gt \cdot \lt 12,20,14 \gt$
$=24-80+56$
$=0$
Hence, the given points are coplanar.
