❖ Equation of a Plane Passing Through 3 Three Points ❖

Equation of a Plane Passing Through Three Points

In this video, we find the equation of a plane that passes through three given points. By using vector operations, we derive the necessary components to form the plane’s equation. First, we find two vectors that lie within the plane, and then we calculate their cross product to determine a normal vector to the plane. Finally, we use this normal vector and one of the points to write the equation of the plane in standard form.

What You Will Learn:
How to find two vectors that lie within a plane given three points on that plane.
The process of finding the cross product of vectors to obtain a normal vector.
Using the normal vector and a point on the plane to construct the plane’s equation.
A step-by-step breakdown of how to find the equation of a plane from given points.
📚 Check out my book: 1001 Calculus Problems for Dummies for more practice!

👍 **If you find this video helpful, please like, share, and subscribe for more math tutorials!

Support My Work:

If you’d like to support the creation of more math content, consider becoming a patron on Patreon: https://www.patreon.com/patrickjmt

#EquationOfPlane #VectorCalculus #MathTutorial #PatrickJMT #CrossProduct #Algebra #Mathematics #PlanesInSpace #MathHelp #NormalVector #Vectors #Education

...

Leave a comment