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Lære Challenge: Collinearity of Points | Introduction to Geometric Modelling
Geometric Modelling with Python
Sektion 1. Kapitel 3
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Challenge: Collinearity of Points

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Definition

Collinearity means that three or more points lie on a single straight line. In other words, if you can draw a straight line that passes through all the given points without changing direction, those points are collinear.

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In geometric modeling, determining whether three points are collinear is a fundamental concept. Building on your understanding of representing points in Python, your task is to implement a function that checks if three given points in the plane are collinear.

  • The function must accept three points, each represented as a tuple of two numbers.
  • The function must return True if the points are collinear, and False otherwise.
  • The function must use the mathematical property that the area of the triangle formed by three collinear points is zero.

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Sektion 1. Kapitel 3
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