Basic Vector Operations Magnitude The magnitude or length of a vector is calculated by multiplying each component by itself, summing all together, and then taking the square root. It is basically the Pythagorean theorem in n dimensions. // Example for a Vec2D a(x,y); float x = 4.0f; float y = 2.0f; float length = sqrt(a.x * a.x + a.y * a.y); printf("The length of vector a is: %f.\n", length); // Output: The length of my_vector is: 4....