Lesson+Summaries+-+Lines+and+Planes


 * __Notes for June 6th 2011 - Matt Dell'Angelo__**

today at the start of class we reviewed eq'ns of lines in 2D by doing the who what when and how for; parametric, slope/y-int, scalar, and vector addition

__Normal Vector__ - Normal means perpendicular

the eq'n of a = ax + by + c = 0 n = [a,b]

__Three Space (3D or Spaceland)__

- Lines can be represented by using vecotrs or parametric eq'ns - in 3D we can us scalar eq'ns to represent planes - a line passing through the point Po with position vector n - [Xo, Yo, Zo] and direction vector m = [m1, m2, m3]

1) Vector Eq'n = r = ro + tm

[x,y,z] = [Xo, Yo, Zo] + t [m1, m2, m3]

2) Parametric Eq'ns For lines;

x = Xo + tm1 y = Yo + tm2 z = Zo + tm3