Normal Vector of a Plane

Simply by looking at the equation of a plane, you can determine a vector that is normal (i.e. orthogonal/perpendicular/90 degree angle) to a plane. Here we will show how to read the vector components of the normal vector to a plane, given the equation of the plane in space.

Help us caption & translate this video!

[joeytaylor]

Great review before my calc iii final!

[linuxinstalled]

You gave me the info I needed in 180 seconds where other tutorials were 10 minutes. Thank you for your well stated explanation and help.

[RumianR]

I didn't know this was for cal 3, I'm using it for linear algebra 1, but thank you so much, you really are truly talented at teaching and you put in a lot of good effort to visually explain the problems. My heart goes out to you, I hope you gain a wider audience.

[MegaBeanHead]

This guy gave the info i needed AND an example in 3 minutes, respect.

[motezart]

Kudos for showing how to do this. Crappy instructor left this out of my class material yet asked in homework.

[anothernumber]

Thank you! So much simpler than other examples that I found online.

[brendamurerwa]

My brains were about to explode trying to figure out how to calculate the normal vector and then I came across this simplified version. Thank you so much. You saved my life.

[uriel]

Quick Video. But teaches you how to get the video in a simple manner. Thanks!

[clementchidozie]

Really a great review!
YOU HAVE MY THANKS!!!

[bibaban]

thanks for the clear explanation, bur what does d represent??

[katherinedeoliveira]

exactly what I needed to know in a clear and simple way thank you so much! definitely subscribed and will watch all of calc 3 playlist to get through this semester :)

[ashishtiwari]

I have been following you...your videos are to the point...I would like to see some videos on partial differential equations.
thanx

[SofiaSkywalker]

Just what I needed, thank you so much!

[Thefakisgoinon]

how do we find the intersect point of the normalvector and the plane?

[mosaletswalo]

keep it up short and sweet explanation

[chacelarsen]

I love your videos!!! I have test #3 in calc 3 in 2 days, in think you have helped!!

[tristunalekzander]

I don't get it, you have to already have the normal vector to "find the normal vector?"

[emilyb]

My question asks for a vector of length 2 orthogonal to 3x-4z=5 ... how would I determine if it is of a length 2?

[johnmifsud]

What if the plane is given in vector form ?

[joshuavarney]

what if its something like z-8(x-8)=5(2-y)?