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Question by AltanZagas · Nov 16, 2018 at 09:31 PM · 2draycastnormalssurface

How do i find the normal of a line between two points?

I am trying to calculate the normal of a line between two points. The points are world-space vectors from two Raycast hits.

But I am having trouble calculating the yellow normal shown in the picture below.

alt text

Any help would be much appreciated.

normal-problem.png (26.9 kB)
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Answer by Bunny83 · Nov 16, 2018 at 11:14 PM

Since this is just a 2d problem the solution is actually quite trivial ^^. To get the green line, just subtract the two hit points from each other. To rotate a 2d vector by 90° you just have to swap the x and y values and invert one of them. Which one you invert dictates the direction you're rotating (clockwise / counter clockwise).

 Vector2 green = hitLeft - hitRight;
 // rotate 90° Clockwise
 Vector2 normal = new Vector2(green.y, -green.x);

You may want to normalize the result in case you need a normalized vector.

Note that the rotation direction depends on the coordinate system. I assumed screen space where the origin is in the bottom left and the positive axis go right (x) and up (y).

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avatar image AltanZagas · Nov 16, 2018 at 11:47 PM 0
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This worked like a charm! Just what I was looking for. Didn't realize it was this trivial, might have overcomplicated things a bit ^^. Thank you very much for the quick and accurate answer!

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