15-462 Graphics I
8
Euclidean Space
•
Assume vector space over real number
•
Dot product:
a
=
u
¢
v
•
0
¢
0
= 0
•
u, v
are
orthogonal
if
u
¢
v = 0
•
|
v|
2
= v
¢
v
defines |
v
|, the
length
of
v
•
Generally work in an affine Euclidean space