(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the points lie on straight line

A(2, 4, 2) B(3, 7, -2) C(1, 3, 3)

2. Relevant equations

3. The attempt at a solution

I've looked up at the equation for lines in three dimension, and it appears to be

x=x_0+at

y=y_0+bt

z=z_0+ct

i tried to take the x y z for A and B and try to solve for a, b, c. Then if the same a, b, c work for BC, then ABC is on a line. That is my thought, but i can't manage to do the first part. I don't know how to use the information given and the equations to start with...

Anyone please help me with this. This is my first time working with 3-dimensional coordinate system...

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# Determining whether three points lie on a straight line in three dimension

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