(Geometry: Point position) Given a directed line from Point p 0(x0 , y0) to p 1(x1 , y1),...
(Geometry: Point position) Given a directed line from Point p 0(x0 , y0) to p 1(x1 , y1), you can use the following condition to decide whether a Point p2(x2 , y2) is on the left of the line, on the right, or on the same line (see Figure):
Figure (a) p 2 is on the left of the line. (b) p 2 is on the right of the line. (c) p2 is on the same line.
Write a program that prompts the user to enter the three Points for p 0, p 1, and p 2 and displays whether p 2 is on the left of the line from p0 to p1, to the right, or on the same line. Here are some sample runs:
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