parametrization of line segment
Question
parametrization of line segment
Solution
Sure, I can help with that. A line segment in a plane can be parametrized using two points. Let's say we have two points A(x1, y1) and B(x2, y2).
The parametric equations of the line segment AB can be written as:
x = x1 + t(x2 - x1) y = y1 + t(y2 - y1)
where t is a parameter that ranges from 0 to 1.
When t = 0, we are at point A(x1, y1). When t = 1, we are at point B(x2, y2).
For any value of t between 0 and 1, we are at some point on the line segment AB.
This is the basic idea of parametrization of a line segment. It allows us to describe every point on the line segment AB in terms of a single parameter t.
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