Parallel, perpendicular, and angle between planes (KristaKingMath)

Learn how to determine whether two planes are parallel or perpendicular, and if the planes are neither parallel nor perpendicular, then to find the angle between the planes. If the planes are parallel, then their normal vectors are parallel. If the planes are perpendicular, then their normal vectors are perpendicular. Therefore, take the coefficients on the x, y and z terms and these are the components of the normal vectors. Set the ratio of the component values equal to each other and if the equation is true, then the normal vectors are parallel and therefore the planes are parallel. Find the dot product of the normal vectors and if the dot product is zero, then the normal vectors are perpendicular so the planes are perpendicular. If the planes are neither parallel nor perpendicular, then use the corollary formula to find the angle between the planes.

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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?!”

[noblesilence]

like a light bulb to me.. thanku so I love ur voice..

[a.ricole]

Hello Krista. I am a student trying to study calculus and I wouldn't have been able to make it this far without your help. I also take lesson from your lecture on Udemy. It's very helpful!

[srhellsing]

Krista thank you so much for what you do! The time and effort you put in this classes are awesome!

[usama]

thank u so much mam your explanation is 100 times better then my professor

[mikam.]

Thank you so much, you really helped me out on my homework. I really appreciate how you put all the formulas first.

[docuskalunga]

Best math teacher I know, thank you this was very helpful.

[AhlulBayt]

Just revising this today for next week's exam and this video was really helpful.
Than you Christa ☺

[romelorivera]

How do you find if a line and a plane are parallel or perpendicular? Is it the same process?

[hg.]

I had an integral thrown at me over in the Stanford chemical engineering video set, and thanks to Krista, yours truly could handle it :) "Look Ma!... "

[anummirza]

Thank you soooo much Ma'am your lecture is very helpful for me . keep it up. thanks a lot

[anner]

life saver!!!thank you Krista
if there was an option of liking the video a 100 tyms I think my like button would be dead by now😄

[GAST_DM]

Thank you for our help, this was very easy to understand and well explained !

[jimmyli]

After we find theta do we subtract it from pi to get the angle?

[LvvLvvLvvw]

Can I find the parallelism of 1plane? If yes, should the value be zero?

[jonahb]

Best part?! This is the exact problem (down to each number) I was looking to solve. Thanks!

[TheHach]

once again you just saved my life, you are amazing!! thank you

[jennifer]

Does it matter if you make the numerator an absolute value for the cosine equation?

[hussaynkhaan]

Absolutely amazing...thank you so much

[SpinfireCreativity]

Wow... best explanation I have ever heard. subscribing!

[elliotzorn]

great video definitely subbing, great voice, could listen to you all day!