3D Vector Explorer

Visualize vector operations in three dimensions

Vector Inputs

Vector A

x y z

Vector B

x y z

Show component lines Show plane (for cross product) Show angle between vectors

|A| (magnitude) 3.74

|B| (magnitude) 3.74

Angle θ 45.0°

A + B =

(4, 5, 3)

(3, 2, 1) + (1, 3, 2) = (4, 5, 3)

Vector Addition

When adding vectors, add corresponding components: x₁+x₂, y₁+y₂, z₁+z₂

Â (unit of A) (0.80, 0.53, 0.27)

B̂ (unit of B) (0.27, 0.80, 0.53)