Plane and Triangle
•Plane: sum of
a point and two vectors
P = P1 + a`u + b` v
Plane: set of points equidistant
from origin in direction
of a vector.
•Triangle:
Affine sum of three points
with ai ³ 0
P = a1P1 + a2P2 + a3P3,
where
a1 + a2 + a3 = 1
P lies between
P1, P2, P3
P1
`u
`v
P1
P2
P3