When we were being taught this topic by our teacher, I feel absolutely being bullied by him. Nothing went to my brain. Must say, wonderful teacher u are ! Now I really get this one...
Thank you, this was a huge help, this and your video on the parallelepiped. You explain these concepts so well, and really help clear up my misunderstandings. Keep up the good work :)
Thank you for this thought! I had a problem where I tried to do z = 0 but couldn't figure it out. My equations were 3x+y+2z = 5 and 3x-2y+4z = 3. Given x/8 = ( y - [blank] ) / [blank] = ( z - [blank] ) / [blank]. Let me know if anyone has an explanation they would like to share. Anyways used x = 0 and all the info from this video and got correct answers. Thanks!
Aww thanks! I'm so glad the videos are helping! :) x-1 becomes x=1 because it represents the the equation of a plane. So x-1 actually implies x-1=0, which you then solve for x to get x=1.
+Dane Murphy Ideally yes, anything is possible. It is also possible that the line never crosses one of the 3 axes, so some judicious inspection and 3-D visualisation is needed. As my lecturer says "You can do anything! The question is whether it works or not."
What is the point of a symmetric equation? Or, why not just write the line parametrically and skip all this silliness of "symmetric equations"? Yeah, ok, that's what the math books want as "answers" but it makes the beauty of what we're doing so obtuse and hard to understand.
When we were being taught this topic by our teacher, I feel absolutely being bullied by him. Nothing went to my brain. Must say, wonderful teacher u are ! Now I really get this one...
She's the best math teacher on UA-cam, and that may be just the beginning...
Thank you, this was a huge help, this and your video on the parallelepiped. You explain these concepts so well, and really help clear up my misunderstandings. Keep up the good work :)
+Stefan van Veenendaal So glad I could help!
Why do you plug in 0 for z and not 0 for x? Is it the same?
Thank you for this thought! I had a problem where I tried to do z = 0 but couldn't figure it out. My equations were 3x+y+2z = 5 and 3x-2y+4z = 3. Given x/8 = ( y - [blank] ) / [blank] = ( z - [blank] ) / [blank]. Let me know if anyone has an explanation they would like to share. Anyways used x = 0 and all the info from this video and got correct answers. Thanks!
do you just randomly plug 0 into z? Can I plug in 10 to z?
would the normal vectors still be the same if the planes were equated to a negative number?
I love how you have all Cal III questions, thanks!
when solving for symmetric equation, @8:19
How can we just ignore the fact the 0 and just procede to write x-1 and not (x-1)/0
Thanks
+Cliff Lee We cant divide things by zero. So i think that is why she said to ignore it. ITS EVIL TO DIVIDE BY ZERO
you are an absolute gift to this world, your sub count just went up one
Thank you so much, anthony! :)
Thank you so much.
Thank you 🙏. very helpful
You are the best! You been helping me more than my actual teacher lol
@9:40 why did x-1 become x=1
Aww thanks! I'm so glad the videos are helping! :) x-1 becomes x=1 because it represents the the equation of a plane. So x-1 actually implies x-1=0, which you then solve for x to get x=1.
I don't get it. The equations still work when I plug in 0 for y, but the final answer is different. Why is it z=0?
Why do you plug zero in for z? Can I plug zero in for x instead or y?
yeah why plug in zero for z
So the answer can be vary if we put x=0 or y=0 ?
Just so you know. You are an angel !!
+saad anwar That's so sweet of you to say!
Does you have to plug in 0 for z? Couldn't you also plug in 0 for x or y?
+Dane Murphy Ideally yes, anything is possible. It is also possible that the line never crosses one of the 3 axes, so some judicious inspection and 3-D visualisation is needed. As my lecturer says "You can do anything! The question is whether it works or not."
so what if the x component vector is not 0?
how can we find symmetric eq of planes....x+2y=6 and z=0.....
Excellent, but you didn't say "bye" at the end. I always like that.
Thank you
You're so welcome! :)
integralCALC You rock! Plus, you're hot ^_^.
A very helpful video, coincidentally posted on my sixteenth birthday. Awesome. xD
:D Happy belated birthday!
Great!
Thanks, Ahmed! :D
Wow wow 👌 👏 😍 👍
What is the point of a symmetric equation? Or, why not just write the line parametrically and skip all this silliness of "symmetric equations"? Yeah, ok, that's what the math books want as "answers" but it makes the beauty of what we're doing so obtuse and hard to understand.