Vector Diagram
Select a vector below, then drag on the canvas to set its direction and magnitude
Component Breakdown
| Vector | Magnitude | Std angle | Bearing | Fₓ (E–W) | F_y (N–S) |
|---|---|---|---|---|---|
| A | 6.0 | 30.0° | 60.0° ENE | 5.2 | 3.0 |
| B | 4.0 | 120.0° | 330.0° NNW | -2.0 | 3.5 |
| R | 7.2 | 63.7° | 26.3° NNE | 3.2 | 6.5 |
Vectors
A6.0 @ 30°
B4.0 @ 120°
Vector A
Magnitude6.0
120
Direction (from East, CCW)30°
0° (E)355°
Bearing (from North, CW)60°
000° N355°
Quick set
Components
Fₓ = F·cos θ
5.2
F_y = F·sin θ
3.0
Resultant (R)
Magnitude7.2 units
Standard angle63.7° (from E, CCW)
Bearing26.3° NNE
Rₓ (East)3.2
R_y (North)6.5
|R| = √(Rₓ² + R_y²) = 7.2
θ = tan⁻¹(R_y / Rₓ) = 63.7°
Physics
A vector has both magnitude and direction. It resolves into: Fₓ = F cos θ (horizontal) and F_y = F sin θ (vertical).
The resultant is found by summing all x-components and all y-components separately, then recombining.
Bearings are measured clockwise from North (000°–360°), used in navigation. The standard maths convention measures anticlockwise from East.