why dot product though instead of multiplication? Is this because d is a unit vector? Also this may be minor but why are the absolute value bars only applied to some of the the o d and ts but not all..
seanxu
Dot product and multiplication can be written interchangeably as N dot N = N_transpose * N. The 2 vertical lines means the length of the vector.
mlandis
So for a unit sphere we know conveniently that every point on it will obey |x|^2 - 1 = 0, but what type of relation can we create for more complex shapes like ellipses or cylinders?
Is it a dot product between o and d?
Yes
why dot product though instead of multiplication? Is this because d is a unit vector? Also this may be minor but why are the absolute value bars only applied to some of the the o d and ts but not all..
Dot product and multiplication can be written interchangeably as N dot N = N_transpose * N. The 2 vertical lines means the length of the vector.
So for a unit sphere we know conveniently that every point on it will obey |x|^2 - 1 = 0, but what type of relation can we create for more complex shapes like ellipses or cylinders?