Game Development and Simulation with Unreal Technology

190 Game Development and Simulation with Unreal Technology

Dot Product: Th is expression takes two vectors as input and returns a scalar value

that is equal to the dot product of the two input vectors. Mathematically speaking,

the dot product will c reate a scalar that is proportional to the Cosine of the ang le

between the two input vecto rs.

Let X and Y be two vector s. The dot product of these two vectors is calculated

according to the following equation:

X ⊙ Y = |X| · |Y| · cos(

θ

) (4.5)

where

θ

is the angle betwe en vectors X and Y.

TABLE 4.20: Dot Product

Inputs

A: Takes in a value or vector any length as the first vector.

B: Takes in a value or vector ...