Parallel, perpendicular, and angle between planes (KristaKingMath)

► My Vectors course: www.kristaking...
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.
● ● ● GET EXTRA HELP ● ● ●
If you could use some extra help with your math class, then check out Krista’s website // www.kristakingm...
● ● ● CONNECT WITH KRISTA ● ● ●
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?!”
So I started tutoring to keep other people out of the same aggravating, time-sucking cycle. Since then, I’ve recorded tons of videos and written out cheat-sheet style notes and formula sheets to help every math student-from basic middle school classes to advanced college calculus-figure out what’s going on, understand the important concepts, and pass their classes, once and for all. Interested in getting help? Learn more here: www.kristakingm...
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[@noblesilence8975]

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

[@docuskalunga7739]

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

[@kristakingmath]

You're welcome, docus, I'm so glad I was able to help! :D

[@AhlulBayt14]

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

[@kristakingmath]

You're welcome! Good luck on your exam!! :D

[@jonahb6580]

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

[@kristakingmath]

I'm so glad it helped! :D

[@hussaynkhaan2059]

Absolutely amazing...thank you so much

[@anner4016]

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😄

[@kristakingmath]

😊

[@Samuel-qn9me]

A rly nice video!

[@youshayilyas6686]

Thank u for this video💖💗💓

[@kristakingmath]

My pleasure, youshay! 😊

[@JSpence163]

Thanks! This really helped.

[@kristakingmath]

+Jp Spencer You're welcome, I'm so glad it helped!

[@dextersmith5444]

This was amazing

[@a.ricole4081]

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!

[@zzcooldude]

Great video! However, I feel like you are afraid of silence... A few pauses here and there would not hurt at all. There's like, not a break in voice this whole video.

[@kristakingmath]

LOL, I just edit out the pauses to make the video shorter. I'll try to leave in a few more. Thanks for the feedback!

[@usama57926]

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

[@abdulrabmashwali7912]

i really enjoyed it's not math ^^

[@andrewhardjono7436]

This saved my life.

[@srhellsing]

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

[@kristakingmath]

Aw thanks! I'm glad I can help. :)

[@usama57926]

its helpfull

[@Richie11123]

wou!!!!! thanks so much.

[@kristakingmath]

You're welcome, Richardt! :)

[@mido2009500]

Hey my amazing teacher :D ur videos help me always so,i wish you will help me on this i will join exams for scholarship to japan soon Math A and B so,i need ur advice if u tell me main points which i have to study it hard cuz i don't have enough time to check A,B while am already study for the univ.. thank you anyway :)

[@mikam.5156]

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

[@kristakingmath]

You're welcome, Mika! I'm so glad it helped! :D

[@LEBOHANGPRINCESS-n6s]

than you so much 😍

[@LvvLvvLvvw]

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

[@kohy741]

OMG!!!! you are the best!!!!!!!!

[@hg2.]

Another wrung up the ladder :)

[@anummirza1076]

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

[@VarnikDas-vt2op]

thanks a lot mam

[@jimmyli2853]

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

[@jennifer9709]

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

[@elliotzorn]

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

[@hg2.]

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!... "

[@kristakingmath]

Ha, love that!

[@GAST_DM]

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

[@kristakingmath]

You're welcome, GAST, I'm so glad it made sense! :D

[@THESUPERIORONE.]

you are amazing, this is very clear 👌👌👍 thank you.

[@kristakingmath]

You're welcome, I'm glad it was helpful! 😊

[@Mina-px3zb]

Just suscribed :) you are like the best math tutor Ive ever gotten. ^^

[@kristakingmath]

+Amina Shah Awww thank you so much!

[@SpinfireCreativity]

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

[@kristakingmath]

+Douglas Graham Awesome! Glad you liked it!

[@tanmanpeng5675]

Thank you

[@kristakingmath]

You're welcome, Tan! :)

[@MrPwnedable]

Thank you for your videos! Lifesaver for my calc class :D

[@kristakingmath]

You're welcome, Brandon! So glad they're helping! :D

[@TheHach96]

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

[@kristakingmath]

i'm so glad it helped!! :D

[@MrAlbashiri]

Thank you very much for the amazing explanation

[@kristakingmath]

+Mohammed Al-Bashiri Glad it could help!

[@iuliagalatan3365]

Thank youu!!!!!

[@akeemishola7919]

Krista, you rocked this! Thank you.

[@kristakingmath]

Thank you so much, Akeem! I'm so glad you liked the video! :D

[@paramparkash2588]

Thanku so much. its very helpful.

[@kristakingmath]

I'm glad it could help!

[@sisosos7683]

omg thank you so much you helped me alot 💜💜

[@kristakingmath]

Yay! Glad it could help!

[@amadoutimbo]

Life saver!!! Thank you very much!!!

[@kristakingmath]

:D

[@Jay_Chuppy]

exactly what I was looking for

[@kristakingmath]

Awesome!

[@the_real_thomasmather]

you are the goat teacher thank u so much

[@kristakingmath]

You're so welcome! I'm glad I can help. :D

[@andehhhhhhh]

thank you

[@kristakingmath]

+andehhhhhhh you're welcome!