Use vectors to determine whether the points are collinear. (-9,-1,2), (-12,-3,-2), (-10,3,7)
A)collinear
B)not collinear

Question

Quizplus · Accepted Answer

To check if the points are collinear, we need to see if the vectors formed by connecting any two points are parallel. Let's check:
v1 = (-12 - (-9), -3 - (-1), -2 - 2) = (-3, -2, -4)
v2 = (-10 - (-9), 3 - (-1), 7 - 2) = (-1, 4, 5)
v1 and v2 are not scalar multiples of each other (you can check this by setting up an equation and seeing if there are any solutions), which means they are not parallel. Therefore, the points are not collinear.

Use Vectors to Determine Whether the Points Are Collinear