VEC008 · Vectors · Classes 11–12
Vector components
A vector can be split into horizontal and vertical components using cosine and sine.
(r cos θ, r sin θ)Vector components
📐 Formula
vₓ = r cos θ, v_y = r sin θ
✏️ Worked example
Magnitude 10 at 30°: (10 cos 30°, 10 sin 30°) ≈ (8.66, 5).
🌍 Where it is used
Splitting a slope's pull, launching projectiles.
❓ Quick check
Components of 6 units at 90°?
🏋️ Practice
Easy4 units at 0°?
Answer: (4, 0)
Medium2 units at 60°?
Answer: (1, √3)
ChallengeMagnitude of (5, 12)?
Answer: 13