Distance between parallel planes (vectors) (KristaKingMath)

Learn how to find the distance between the parallel planes using vectors. Verify that the planes are parallel by finding the normal vectors to the planes and proving that the normal vectors are parallel. Then find a coordinate point on one plane, and calculate the distance between that point and the other plane by pulling the components of the normal vectors, and the values from the coordinate point into the distance formula.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

[nicolenelson]

I've been using your video's since Calculus I, and now I'm in Calc III. I always thought I was terrible at math an could never do it. But now I'm so far and I still can't believe it. Thank you for making all these videos!

[Schytheron]

You are one of the best online teachers I have seen. Your explanations are very simple and easy to follow. I hate teachers who over-complicate their explanations just for the sake of sounding fancy...

[HPuser]

Thank you for walking through every single step and not skipping any nuances. It really helps be know where every number came from.

[ryancov]

Takes a bit of time to wrap your head around, but this is the best explanation of distance between parallel plains available on YouTube.

[ramanahlawat]

The shorter method would be by multiplying eq 1 by 2 so that the coff become same then apply the formula.
let const term in eq 1 be x
and in eq 2 be y
so d=(x-y)/√(a^2+b^2+c^2)

[thehelpfulshadow]

This video is a lot more helpful than my textbook. Especially the easy to understand distance formula. I sat here for 20 minutes trying to figure out how to understand d=abs(PS•(n/|n|) with PS being a vector connecting a point to a plane before I found this video.

[briangonzalez]

I know I’m insanely late but this was a struggle for me and you made it more simple for me. Thank you. You’re the best

[muhammadabdullahnaveed]

I have my final in just a couple of hours and you legit just saved my semester <3

[Enes-hrhp]

THANK YOU SOO MUCH. your voice makes me wanna learn :)

[MohsinOmar]

Spent 3 days trying to figure this out as the textbook did not explain anything. I would just like to thank you so much for this video!!

[absolhonk]

thank you for your videos. You and Organic Chem Tutor are keeping me afloat in school.

[Bedocalaway]

THANK YOU SO MUCH! Going to write my exam in a few mins now xD

[ray]

Very clear and intuitive video! Exceptional! Please keep making more and more, I love your style 

[frzn]

This is the best tutorial video ever! This should be the standard.

[zabilonlukas]

thank you, krista. for clear explantion

[bhavesh.adhikari]

thanks! just curious why did you set y=z=0, cant i did the same for x, y and solve for z ?

[ryuurena]

Nice video and very helpful. Can I know the real explanation why Y and Z is equal to zero when you want to find the point on the plane? I just want conformation.

[shreyamduggal]

after watching 100 videos for this problem finally got a nice explanation thanks dude

[alialoraini]

Thank you so much Krista for this amazing explanation. Greetings from Saudi Arabia!

[karencovey]

Thank you Krista. Such a good explanation and so clear. You are a really good teacher! Putting up a link to your for my video students to watch. :)