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]
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