Section 1. Chapter 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.
Task
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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
Trueif the points are collinear, andFalseotherwise. - The function must use the mathematical property that the area of the triangle formed by three collinear points is zero.
Solution
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Section 1. Chapter 3
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