↗️
2D Vector Decomposition
AP Precalculus · Unit 4 Functions Involving Parameters
⛶
Learning Objectives
Decompose vectors into x and y components
Calculate: Vx = |V|cos θ, Vy = |V|sin θ
Find magnitude: |V| = √(Vx² + Vy²)
Find direction: θ = arctan(Vy/Vx)
Formulas
Vx = |V| cos θ
Vy = |V| sin θ
|V| = √(Vx² + Vy²)
θ = arctan(Vy / Vx)
Tags
vectors
components
decomposition
AP Precalculus
Magnitude |V|
5.0
Angle θ (°)
45
Components
Vx
0
Vy
0
|V|
0
θ
0°
Quick Quiz
A vector of magnitude 10 at 30° has Vx =
10 cos 30° = 8.66
10 sin 30° = 5
10 tan 30° = 5.77
10 / cos 30° = 11.55