Enter magnitude and all three direction angles θx, θy, θz (degrees from +x, +y, +z).
Valid directions satisfy: cos²θx + cos²θy + cos²θz = 1.
Inputs: F, θx, θy, θz(3D plot loads below if allowed)
Vector
Magnitude
θx (deg)
θy (deg)
θz (deg)
Valid?
Tip: Direction angles are typically between 0° and 180°.
If a row is invalid, it is highlighted and excluded from the resultant summation and the 3D plot.
Computed components (per vector)
Vector
Fx
Fy
Fz
Resultant (sum of valid vectors)
Rx = —
Ry = —
Rz = —
|R| = —
θRx = —
θRy = —
θRz = —
Status = —
R = —
Resultant direction angles computed as θRx = acos(Rx/|R|), etc. If |R| = 0, angles are N/A.
3D Visualization (concurrent vectors)
Loading 3D plot…
Gray: individual force vectors (from origin) Red: resultant vector (from origin)Drag to rotate • Scroll to zoom