Vectors 8.4 Vector Equation of a Plane

Ms Havrot's Canadian University Math Prerequisites

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With one point and two direction vectors we can find the vector equation of a plane. I show how easy this is to do given 3 points, a point and a line, how to find an intercept of the plane, how to find the equation of a plane parallel to another plane and how to find out if a point is on a given plane.

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18 сен 2024

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Комментарии : 23

@MukeshRoyal-eb4qs 6 месяцев назад

Got 98 all thanks to you🎉

@mshavrotscanadianuniversit6234 6 месяцев назад

That’s great news!! Congratulations 🥳 only 3 months to go!

@godisgood2482 4 года назад

I thank you for ur initiative of providing very best video. From Nz!!😉

@mshavrotscanadianuniversit6234 4 года назад

I’m glad that you are enjoying them! I was on NZ this time last year!! Beautiful country 😊

@bradenmisselbrook3412 3 года назад

For my calculus class I have strictly watched your videos and have not done homework and currently have a 72. You’ve saved me

@mshavrotscanadianuniversit6234 3 года назад

What??? No practice? Shame on you. You could have a 90 if you did 😳

@kailynchoe7754 Год назад

at 10:00 it says LS does not equal RS so Q doesnt lie on the line, but if we sub s=1 for z= -3+4s wouldn't that be 1=1 which would indicate that Q does lie on the line?

@mshavrotscanadianuniversit6234 Год назад

It has to work for ALL of the parametric equations

@kailynchoe7754 Год назад

@@mshavrotscanadianuniversit6234 Ok, I see! Thank you for replying!! Great video by the way, they really helped me a lot

@rain403 3 года назад

How would you go from the Cartesian form to the vector form on an equation? How do you reverse cross product it?

@HendyCahyaSuwandi 2 года назад

Mrs, you say that we used point A (1,-5,9) in the equation of plan. Can we use point P(1,1,1) instead of (1,-5,9)? Also we use different vector direction that is PA and the same vector direction that is (-1,1,0)?

@mshavrot_math 2 года назад

Yes that will work as well because if the line is on the plane the given point of the line must also be on the plane. You can double check your solution by finding the equation of the plane with your suggestions and testing to see if (1, -5, 9 ) satisfies your equation of the plane ( and it will )

@yasmeenyas4056 2 года назад

Let's say you found 2 direction vectors does it matter which one will be s or t. For example s(1,2,3)+t(6,3,6) can it also be s(6,3,6)+t(1,2,3). Or will that be wrong. THANK YOUU

@mshavrotscanadianuniversit6234 2 года назад

No, I does not matter. Good question 😊

@yasmeenyas4056 2 года назад

@@mshavrotscanadianuniversit6234 THANK YOU!!! so much for the reply

@nic4321 3 года назад

IT might seem that you are referring to a book (p460 #11) could you please let me know its title and author? I wish I could buy it. Your lessons are simply great! thank you.

@mshavrotscanadianuniversit6234 3 года назад

The textbook is Calculus and Vectors published by Nelson. If you Google the above and add pdf you should be able to find a downloadable version. Hope that works for you! Thanks for watching my lessons! 😊