The shortest path is a line perpendicular to the given line that passes through the given point.
It will be a line that is perpendicular to the existing line and goes through the point.
The shortest path between two points
line segment
Yes, on a plane surface (a flat sheet of paper, for example).
Line
A line.
The shortest path between two points is called a geodesic. In flat (Euclidean) space it is simply a straight line.
a segment of a strate line
difference between shortest path and alternate path
2D line.
The shortest path between two points
line segment
actually, there is, depending on your definition of polygon, and your definition of a line segment. A line segment is the shortest path btwn two points, right? So take a sphere and pick any two points on that sphere. The shortest path between them on the surface of the sphere would be a "curve" along the surface, but it's the shortest path between the points, so it technally is a line segment. Take two of these line segments that intersect at two points, and there is your two sided polygon!
Yes, on a plane surface (a flat sheet of paper, for example).
In plain geometry, the shortest distance between two points is a straight line, or, more precisely, the line segment connecting point A to point B.There are other possibilities when we move off a two-dimensional plane. On a sphere, like the surface of the earth, a "great circle" path is the shortest distance. (A great circle is a circle that runs along the surface of that sphere so as to cut it into two equal halves) Any route from A to B is going to be the arc drawn from A to B with the center of the earth as the point of reference (the place to put the point of the compass). This is an example of non-Euclidean geometry and there are many others.It can get even more complicated. For example, there is elliptic and a hyperbolic geometry each with its own different replacement for the straight line in plain geometry.A line
resultant displacement
resultant displacement
Because a straight line is the shortest path it can follow between two points. However a locally straight line may not be a globally straight line. This is how a gravitational field bends the path of light according to General Relativity.