I don't know why but I couldn't find this from my math book. I was thinking about this for a long time wondering that how do I find the vector of the line and tbh I wouldn't have realized to use cross product of normal vectors. Thx for this vid
Yes I believe so. But then just try another value (eg y=0, x=0). Think if that still doesn't work you try again (such as z=1, then y=1 and finally x=1)...
Yes absolutely! The only instance where one of those won’t work is if the plane is parallel to one of the xy, yz or xz planes (in which case the plane’s equations would only contain two of the three variables); if not : you can choose either one of the three variables, set it equal to 0 and solve for the remaining two. Hope that helps! 😊
Genius!!!!!!❤❤
Thanks for the comment!!
Really glad it helped 😊
Man, I’m so glad I clicked on this video 😂😎 it’s really awesome
Thanks for such a kind comment!
I’m really glad it helped 😊
@@RadfordMathematics thanks to you too!
wow wow wow , amazing explanation
Thanks for the kind feedback Jad!
Really glad it helped 😊
great job - love you
Thanks for your comment!!
I’m really glad this video helped 😊
I don't know why but I couldn't find this from my math book. I was thinking about this for a long time wondering that how do I find the vector of the line and tbh I wouldn't have realized to use cross product of normal vectors. Thx for this vid
Nice explanation
thank uuuuu
Thanks for your comment!
I’m really glad it helped 😊
I have a question: in step 3 how do we know that the line of intersection will have z = 0 at some point?
If it didn’t the lines would be parallel to the xy plane and would have a z component.
Hope that helps a bit? 😊
Hi, How do we know that the has a z value at all? Is there a situation where we cannot let z = 0?
Yes I believe so. But then just try another value (eg y=0, x=0). Think if that still doesn't work you try again (such as z=1, then y=1 and finally x=1)...
Can we use x = 0 or y = 0 instead of z = 0
Yes absolutely! The only instance where one of those won’t work is if the plane is parallel to one of the xy, yz or xz planes (in which case the plane’s equations would only contain two of the three variables); if not : you can choose either one of the three variables, set it equal to 0 and solve for the remaining two.
Hope that helps!
😊
@@RadfordMathematics Thanks