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Tamiku [17]
3 years ago
7

Two non-coplanar lines ? intersect

Mathematics
1 answer:
mario62 [17]3 years ago
5 0
Never. If they are not on the same plane, then they cannot intersect because 2 lines and 1 point are always on a plane, in this case the original line, then a point in the middle to the point that creates the other line would be included, hence if they are non-coplaner then they cannot intersect. 
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Sorry this is late and I think this is right.

They are both parallel, they have the same slope, and do <em>not </em>intersect. If you were to draw a slope out for it, you would find this to be true.

For example: Say the question called for you to explain why there aren't any solutions to these system of inequalities:

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<em>y= -x/2 -3</em> and <em>y= -x/2 + 2 </em>have the same exact slope, are parallel, and never intersect. The first line is 5 units below the second line when x = 0. Because the lines are parallel, it is always below the second line. The solutions of y < - x/2 -3 are the points in the plane below the first line. The solutions of y > 1/2 + 2 are points above the second line.

I hope this helps you. Good luck on whatever you're working on and stay safe! Please let me know if this helped you or didn't.

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