Find coordinates of intersection of vector and a square's edges











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Not big problem, but I can't find a formula for the following stuff.



I have this kind of things:



enter image description here



(I was not able to draw vector in my application so I represented the source by point and the end of the arrow by nothing, and the vector is the segment) ; also don't pay attention the red ones on this image)



So I'll have a lot of vectors composed of a source point (inside the square) and a destination point (inside or outside the square).



The square is delimited by the four black points in the corners.



I need a formula to get the coordinates of the intersection with the edge (if there is one).



For example I'd need the coordinates of the "points" on the following image:



enter image description here



Anybody has an idea on how to achieve that?






geometry







share|cite|improve this question
























  • It is not clear how you define the red vectors and how they relate to the black vectors in the other drawing. You have 5 red vectors(?) in the square...
    – Moti
    13 hours ago










  • Just edited my post.
    – Axel Carré
    6 hours ago










  • In your case, the direction seems to be irrelevant. Is there no reason you don't work with segments? (Also, note that vectors typically have magnitude and direction, but not a starting point - they can be "moved around" and still be the same vector).
    – Todor Markov
    5 hours ago










  • Yes I just don't know how to call a vector with a starting point, maybe a translation? I figured out a formula by myself anyways, I was a bit tired, that was not that hard finally sorry to annoye ans thanks.
    – Axel Carré
    4 hours ago










  • And yes direction was irrelevant you were right.
    – Axel Carré
    4 hours ago















up vote
0
down vote

favorite












Not big problem, but I can't find a formula for the following stuff.



I have this kind of things:



enter image description here



(I was not able to draw vector in my application so I represented the source by point and the end of the arrow by nothing, and the vector is the segment) ; also don't pay attention the red ones on this image)



So I'll have a lot of vectors composed of a source point (inside the square) and a destination point (inside or outside the square).



The square is delimited by the four black points in the corners.



I need a formula to get the coordinates of the intersection with the edge (if there is one).



For example I'd need the coordinates of the "points" on the following image:



enter image description here



Anybody has an idea on how to achieve that?






geometry







share|cite|improve this question
























  • It is not clear how you define the red vectors and how they relate to the black vectors in the other drawing. You have 5 red vectors(?) in the square...
    – Moti
    13 hours ago










  • Just edited my post.
    – Axel Carré
    6 hours ago










  • In your case, the direction seems to be irrelevant. Is there no reason you don't work with segments? (Also, note that vectors typically have magnitude and direction, but not a starting point - they can be "moved around" and still be the same vector).
    – Todor Markov
    5 hours ago










  • Yes I just don't know how to call a vector with a starting point, maybe a translation? I figured out a formula by myself anyways, I was a bit tired, that was not that hard finally sorry to annoye ans thanks.
    – Axel Carré
    4 hours ago










  • And yes direction was irrelevant you were right.
    – Axel Carré
    4 hours ago













up vote
0
down vote

favorite









up vote
0
down vote

favorite











Not big problem, but I can't find a formula for the following stuff.



I have this kind of things:



enter image description here



(I was not able to draw vector in my application so I represented the source by point and the end of the arrow by nothing, and the vector is the segment) ; also don't pay attention the red ones on this image)



So I'll have a lot of vectors composed of a source point (inside the square) and a destination point (inside or outside the square).



The square is delimited by the four black points in the corners.



I need a formula to get the coordinates of the intersection with the edge (if there is one).



For example I'd need the coordinates of the "points" on the following image:



enter image description here



Anybody has an idea on how to achieve that?






geometry







share|cite|improve this question















Not big problem, but I can't find a formula for the following stuff.



I have this kind of things:



enter image description here



(I was not able to draw vector in my application so I represented the source by point and the end of the arrow by nothing, and the vector is the segment) ; also don't pay attention the red ones on this image)



So I'll have a lot of vectors composed of a source point (inside the square) and a destination point (inside or outside the square).



The square is delimited by the four black points in the corners.



I need a formula to get the coordinates of the intersection with the edge (if there is one).



For example I'd need the coordinates of the "points" on the following image:



enter image description here



Anybody has an idea on how to achieve that?






geometry




geometry






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited 6 hours ago

























asked 14 hours ago









Axel Carré

112




112












  • It is not clear how you define the red vectors and how they relate to the black vectors in the other drawing. You have 5 red vectors(?) in the square...
    – Moti
    13 hours ago










  • Just edited my post.
    – Axel Carré
    6 hours ago










  • In your case, the direction seems to be irrelevant. Is there no reason you don't work with segments? (Also, note that vectors typically have magnitude and direction, but not a starting point - they can be "moved around" and still be the same vector).
    – Todor Markov
    5 hours ago










  • Yes I just don't know how to call a vector with a starting point, maybe a translation? I figured out a formula by myself anyways, I was a bit tired, that was not that hard finally sorry to annoye ans thanks.
    – Axel Carré
    4 hours ago










  • And yes direction was irrelevant you were right.
    – Axel Carré
    4 hours ago


















  • It is not clear how you define the red vectors and how they relate to the black vectors in the other drawing. You have 5 red vectors(?) in the square...
    – Moti
    13 hours ago










  • Just edited my post.
    – Axel Carré
    6 hours ago










  • In your case, the direction seems to be irrelevant. Is there no reason you don't work with segments? (Also, note that vectors typically have magnitude and direction, but not a starting point - they can be "moved around" and still be the same vector).
    – Todor Markov
    5 hours ago










  • Yes I just don't know how to call a vector with a starting point, maybe a translation? I figured out a formula by myself anyways, I was a bit tired, that was not that hard finally sorry to annoye ans thanks.
    – Axel Carré
    4 hours ago










  • And yes direction was irrelevant you were right.
    – Axel Carré
    4 hours ago
















It is not clear how you define the red vectors and how they relate to the black vectors in the other drawing. You have 5 red vectors(?) in the square...
– Moti
13 hours ago




It is not clear how you define the red vectors and how they relate to the black vectors in the other drawing. You have 5 red vectors(?) in the square...
– Moti
13 hours ago












Just edited my post.
– Axel Carré
6 hours ago




Just edited my post.
– Axel Carré
6 hours ago












In your case, the direction seems to be irrelevant. Is there no reason you don't work with segments? (Also, note that vectors typically have magnitude and direction, but not a starting point - they can be "moved around" and still be the same vector).
– Todor Markov
5 hours ago




In your case, the direction seems to be irrelevant. Is there no reason you don't work with segments? (Also, note that vectors typically have magnitude and direction, but not a starting point - they can be "moved around" and still be the same vector).
– Todor Markov
5 hours ago












Yes I just don't know how to call a vector with a starting point, maybe a translation? I figured out a formula by myself anyways, I was a bit tired, that was not that hard finally sorry to annoye ans thanks.
– Axel Carré
4 hours ago




Yes I just don't know how to call a vector with a starting point, maybe a translation? I figured out a formula by myself anyways, I was a bit tired, that was not that hard finally sorry to annoye ans thanks.
– Axel Carré
4 hours ago












And yes direction was irrelevant you were right.
– Axel Carré
4 hours ago




And yes direction was irrelevant you were right.
– Axel Carré
4 hours ago















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