How to Find the Intersection of Lines in Three Dimensions EXAMPLE!

In this video I will share a finding the point of intersection of lines in three dimensions example! This video will show you how to find the point of intersection by looking at the equations.

You can find the point of intersection of two lines in 3D just by looking at their equations! There is no need for a graph in order to solve a problem like this.

Begin by looking at the direction vectors to see if the lines are parallel lines in three dimensions. From there, setting up a linear system of equations with two equations and two unknowns is your next step. Solving using elimination will allow you to find the values for your parameters that give you a point of intersection! There is a possibility that you will have skew lines in three dimensions, but that is a topic for another day!

Finding the point of intersection of two lines in three dimensions can be difficult, but if you follow these simple steps it will be a piece of cake!

This example will be particularly helpful if you are studying vectors and plans in the MCV4U course.

SUBSCRIBE to ‪@MathByThePixel‬ for more! ►    / @mathbythepixel