Given 3 points in 3 space, for example A(5,1,3), how would I determine if those points are on a straight line.

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Given 3 points in 3 space, for example A(5,1,3), how would I determine if those points are on a straight line.

2007-08-23 14:09:27 · 2 answers · asked by math q 2 in Science & Mathematics ➔ Mathematics

2 answers

Suppose the three points are A, B, and C. If they are collinear, then any two directional vectors between them would be non-zero multiples of each other.

For example, if they are collinear then there exists a non-zero constant g such that

AB = g*AC

2007-08-23 14:29:51 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋

If they are all A then they are..if they are all 5's then yes..

2007-08-23 14:17:55 · answer #2 · answered by dolphingirl_862003 2 · 0⤊ 0⤋