Use a cross product to determine whether the points A, B, and C are collinear.A(2, 3, 2), B(7, 5, 0), C(-3, 1, 4)
A. Let u = 
= 
and v = 
= 
. The vectors u and v are not parallel because they share point A, and A, B, and C are collinear, since u × v = 0.
B. Let u = 
= 
and v = 
= 
. The vectors u and v are not parallel because they share point A, and A, B, and C are not collinear, since u × v ? 0.
C. Let u = 
= 
and v = 
= 
. The vectors u and v are parallel, and A, B, and C are collinear, since u × v = 0.
D. Let u = 
= 
and v = 
= 
. The vectors u and v are not parallel because they share point A, and A, B, and C are not collinear, since u × v ? 0.
Answer: A
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