A cross product returns the vector perpendicular to two given vectors. In order to determine collinearity and intersections, we will take advantage of the cross product. ![]() There are 5 possibilities if we have two line segments:ġ) The two line segments are collinear and overlapping (intersecting portion is a line segment)Ģ) The two line segments are collinear and disjoint (not intersecting)ģ) The two line segments are parallel (not intersecting) ![]() While preparing this post, I ran across his response, and I can’t do it much more justice, so here is his general implementation in MATLAB. Note: Much credit for this post and explanation should be given to Gareth Rees. Previously, we’ve described how to define a line segment in MATLAB, and we will use this definition in our current method for solving for line intersections. This will allow for further solutions for more complex questions, including a general solution regarding whether a point is inside or outside of a convex or non-convex polygon. ![]() ![]() One computational geometry question that we will want to address is how to determine the intersection of two line segments.
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