VEC005 · Vectors · Classes 11–12
Vectors
Quantities with size and direction, added head-to-tail.
Vectors📐 Formula
|u| = √(uₓ² + u_y²); u + v = (uₓ + vₓ, u_y + v_y); u·v = uₓvₓ + u_yv_y = |u||v|cos θ
✏️ Worked example
u = (3, 1), v = (1, 2): u + v = (4, 3), |u + v| = 5, u·v = 5.
🌍 Where it is used
Forces, velocities, navigation and game physics.
❓ Quick check
If u·v = 0 the vectors are…