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
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?
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.
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! 😊
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)?
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 )
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I’m glad that you are enjoying them! I was on NZ this time last year!! Beautiful country 😊
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What??? No practice? Shame on you. You could have a 90 if you did 😳
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
No, I does not matter. Good question 😊
@@mshavrotscanadianuniversit6234 THANK YOU!!! so much for the reply
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?
It has to work for ALL of the parametric equations
@@mshavrotscanadianuniversit6234 Ok, I see! Thank you for replying!! Great video by the way, they really helped me a lot
This was a great video, thank you for your help
You are most welcome!
How would you go from the Cartesian form to the vector form on an equation? How do you reverse cross product it?
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.
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! 😊
There are 2 direction vectors, I can choose which will be s and t?
Yes you can!
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)?
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 )
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