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Math problems
Author
Hi guys,
I know that this s a stupid question and that I studied these stuff when I was at school but I really need your supper and help.
I have a problem:
I have a segment from P1 and P2 and I would like to draw a little segment from the middle of the segment that is perpendicular to it. So I have to find two point: the middle point of the segment that is (P1.X + P2.X)/2 and (P1.Y + P2.Y)/2
and the other point that is along the perpendicular of the segment. I really don''t know how to find it. Please help
hi,
you can use the fact that the dot product of 2 perpendicular vectors is 0
let p4 the point in the middle of segment p1p2 and p3 the point you are looking for:
p1p2.p3p4=0
((p2.x-p1.x)*(p4.x-p3.x))+((p2.y-p1.y)*(p4.y-p3.y))=0
fix a value to p3.x and that''s it!
lunasol
you can use the fact that the dot product of 2 perpendicular vectors is 0
let p4 the point in the middle of segment p1p2 and p3 the point you are looking for:
p1p2.p3p4=0
((p2.x-p1.x)*(p4.x-p3.x))+((p2.y-p1.y)*(p4.y-p3.y))=0
fix a value to p3.x and that''s it!
lunasol
In 2D you can rotate a vector by 90 degrees with the following formula:
x'' = -y
y'' = x
Now take your line segment (P2-P1), rotate it 90 degrees and then scale it to the length you want it to be.
- WitchLord
x'' = -y
y'' = x
Now take your line segment (P2-P1), rotate it 90 degrees and then scale it to the length you want it to be.
- WitchLord
Author
Just a question Witchlord...
It works fine but obviously the perpendiculat has the same lenght of the line that I draw. How can I scale it to the lenght I want it to be ?
It works fine but obviously the perpendiculat has the same lenght of the line that I draw. How can I scale it to the lenght I want it to be ?
to scale a normal vector:
nx is your normal x value
ny is your normal y value
nz is your normal z value
scale is the length you want it to be
length = scale / sqrt(nx*nx+ny*ny+nz*nz);
nx *= length;
ny *= length;
nz *= length;
for 2d you can cut alot of this out:
length = scale / sqrt(nx*nx+ny*ny);
nx *= length;
ny *= length;
"Like all good things, it starts with a monkey.."
nx is your normal x value
ny is your normal y value
nz is your normal z value
scale is the length you want it to be
length = scale / sqrt(nx*nx+ny*ny+nz*nz);
nx *= length;
ny *= length;
nz *= length;
for 2d you can cut alot of this out:
length = scale / sqrt(nx*nx+ny*ny);
nx *= length;
ny *= length;
"Like all good things, it starts with a monkey.."
This topic is closed to new replies.
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