Cartesian Equation of a Plane using 3 Points | How to Find It in 3 Steps

We learn how to find the cartesian equation of a plane, given three points that are contained in it. In the worked example we follow 3 steps:
- find 2 non parallel vectors contained in the plane (do this use the 3 points given)
- find a normal to the plane (by finding the vector product of the two vectors found above)
- use the scalar product form of a plane's equation to find the cartesian equation
the method is clearly explained through a detailed worked example.

[shashankbakshi]

Thank You so much, sir. Best video ever on planes.

[hhwcjkr]

woah thank you so so so much! I was struggling with plane vectors and couldn't do a simple problem.. thank you for clarifying my confusion!! wonderful video

[raghumalhotra]

Can you plz tell is there any other method also which does not involve the vector operations..just for knowledge

[leeleo]

hey- you used AB and AC here, but you really could use any combination as long as they aren't parallel right? so like AB and BC?

[elijahsallin]

this is video is sooo informative!! thank you!

[mohammadalqahtani]

Thank you so much Sir. It really helped me with the exam question ( open book exam 😊). Thanks again. Is the normal shows the perpendicular?

[feekygucker]

The thumbnail states that the solution uses a scalar product rather than a vector product. I was specifically looking for the scalar product solution on this occasion :(.

[Vishal]

This was a very good video that explained how to find the Cartesian equation of a plane very simply and clearly.

[adeshramanaharan]

you sound like an american louis theroux