This video shows the scalar and parametric equations for how to write equations of lines in three dimensions and explains where the formulas come from.
Now I understand why I struggled with vectors. I didn't get my basics right. We can solve problema by just memoriziny the formula. But for 3D geometry once we cross a certain level of difficulty of problems, it is impossible to solve without the concepts. Thanks ❤
A vector has initial point and it can extend in only one direction,but a line can extend in both directions then how a vector(r vector)can represent a line
The vector for the line has a parameter "t" which then makes it represent infinite vectors (choose as many values for t as you want). Without the parameter (variable), you are right, it's just a vector pointing to one place and not a line. The idea is that for every "t" value, the vector's terminal point is at a new location on a line. So, you run through all possible t-values and then it draws the line! Kind of like how y=mx+b is a line in 2D space. So, if you have something like y=2x+3...for every x-value you input, you get a new y-value on the line. This just uses "x" instead of "t."
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I won't lie this is the best explanation I've found on the internet
I had lost hope in understanding planes-
Thank you!
So glad I could help!
Such a good explanation, good for those who wants to understand the working of these stuffs..
thanks so much our teacher didnt told us these basics and we were directly into question solving
I’m glad I could help explain some of these concepts!
Now I understand why I struggled with vectors. I didn't get my basics right. We can solve problema by just memoriziny the formula. But for 3D geometry once we cross a certain level of difficulty of problems, it is impossible to solve without the concepts. Thanks ❤
Thank you for great explanation.
This video explains it in a way so that it becomes easy as cake! 🍰🤠
This channel is great
Thank you!
it,s a good video on internet and also easy understandable
A vector has initial point and it can extend in only one direction,but a line can extend in both directions then how a vector(r vector)can represent a line
The vector for the line has a parameter "t" which then makes it represent infinite vectors (choose as many values for t as you want). Without the parameter (variable), you are right, it's just a vector pointing to one place and not a line.
The idea is that for every "t" value, the vector's terminal point is at a new location on a line. So, you run through all possible t-values and then it draws the line!
Kind of like how y=mx+b is a line in 2D space. So, if you have something like y=2x+3...for every x-value you input, you get a new y-value on the line. This just uses "x" instead of "t."
@@DrClaireMath thanks a lot🤗🤗