Vector addition

Adding two vectors together yields a third vector, which has the combined displacement of both input vectors. Vector addition is a component-wise operation; to perform it, you need to add like components.

To visualize the addition of two vectors, draw the base of the second vector at the tip of the first vector. Next, draw an arrow from the base of the first vector to the tip of the second vector. This arrow represents the vector that is the result of the addition:

Figure 2.2: Vector addition

To implement vector addition in code, add like components of the input vectors. Create a new file, vec3.cpp. This is where you will define functions related to the vec3 struct. Don't forget to include vec3.h. Overload the + operator to perform vector addition. Don't forget to add the function signature to vec3.h:

vec3 operator+(const vec3 &l, const vec3 &r) {

    return vec3(l.x + r.x, l.y + r.y, l.z + r.z);

}

When thinking about vector addition, remember that a vector represents a displacement. When adding two vectors, the result is the combined displacement of both input vectors.