Equation of the plane using vectors (KristaKingMath)
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- Опубликовано: 25 авг 2024
- ► My Vectors course: www.kristaking...
Learn how to find the equation of the plane given three coordinate points in the plane. Use the points to find two vectors that lie in the plane, and then find the cross product of the two vectors, which will be the normal vector to the plane. Write the equation of the plane using one of the coordinate points and the normal vector.
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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?!”
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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You have a knack for making calculus seem so simple, or maybe it is that simple and I've been making it harder than I need to. Thanks again!
I'm glad it's starting to feel easier!
Well done... not too difficult and very comprehensive. Please continue.
I definitely will, thanks! :)
Thank You. Your videos have been very helpful.
You saved my life again, THANK YOU SO MUCH KRISTA KING! :)
Happy to help, Andres!
You know what..you just saved me in time! Thanks!
Love that! Thanks for letting me know.
Omg, super helpful! Thanks!!
I'm glad you liked it! :D
awesome vids. thank you so much
Awesome... Very helpful....
Thanks. Very well explained
You're welcome, I'm glad you liked it!
When using the point p at the end, it doesn't matter really WHICH of the original points you use to get the equation, correct?
Shahin Sateei no, it doesn't matter which one you use; you can use any of them and you should always get the same answer.
what if i am only given 2 vektors that define a plane?
Thanks
You're welcome!
Why can't we just use the cross product or P, Q, or R directly? Like P x R or Q x P directly instead of finding PQ and QR then finding PQ x QR
this would give the plane including the two points you used along with the origin, instead of the plane containing the 3 points
FYI, "Normal" means perpendicular.
Thanks, this was really helpful :)
Awesome! Thanks for letting me know. :)
I think the cross product should be 1, 1, -1?
How did you get that result?
I took the cross product and got it. I take it differently than you do though. But i kept getting that answer so i used a cross product calculator i found on google and I got my answer as the right one not yours. But either way you are just a genius and i am soooooo grateful for all of your videos. THANK YOU! You are an inspiration.
you should be much quicker calculating the determinants :)
This was a great video explanation, but you went ahead and focused on some unnessecary childish shit. Way to go dipshit!