Convert a Cartesian Plane into Parametric Vector Form (Ch1 Pr41d)

In this video we derive a parametric vector form for a plane in 3D in two different ways: visually and using some algebra. This is Chapter 1, Problem 41 d) of our MATH1141 Algebra notes. Presented by Daniel Mansfield of the School of Mathematics and Statistics, UNSW.

[ltcolFROST]

Thanks a lot for these explanations : I didn't find it in my language !

[jorgemercent]

Hello..after 7:50, why must X_2 stay as X_2, and X_3 stay as X_3? Doesn't it make more sense to replace X_2 with (4/3)X_1+2X_3 - 4 and replace X_3 with (-2/3)X_1 + (1/2)X_2 + 2, just as X_1 has been replaced by its expression in terms of X_2 and X_3?

[RonZhang]

How about Parametric Vector Form to Cartesian?

[nitikadesai]

Thank you for this incredible video 😊

[leoliu]

Hello, at 8:45, how could you use λ and μ to reprensent the x2 and x3?

[salskrake]

11:12, Lol, high schooler here, taking that as a compliment