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Distance Between a Point and a Line In 2D & 3D - Geometry

January 8, 2018
by
The Organic Chemistry Tutor
YouTube video player
Distance Between a Point and a Line In 2D & 3D - Geometry

TL;DR

Learn how to find the perpendicular distance between a point and a line in both two and three dimensions.

Transcript

in this video we're going to focus on calculating the distance between a point and a line in two dimensions and in three dimensions so let's say if we have a graph and this is just some generic equation so let's say this is a line and the formula is ax plus b y plus c is equal to zero and we have some point x comma y the distance formula will give ... Read More

Key Insights

  • 🫥 The distance between a point and a line in both two and three dimensions can be calculated using a standard formula.
  • 🫥 The formula involves determining the coefficients of the line equation and substituting them along with the coordinates of the point.
  • 🫥 The absolute value ensures a positive distance, representing the perpendicular distance between the point and the line.

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Summary & Key Takeaways

  • The video explains the formula for calculating the distance between a point and a line in 2D and 3D.

  • It demonstrates how to use the formula with provided values to find the distance.

  • The process involves determining the coefficients for the line and substituting them into the formula along with the coordinates of the given point.


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