3D Vector Calculator

Dot, cross, magnitude, and angle for 3D vectors

Vector a
Vector b
a = (1, 2, 3), b = (4, 5, 6) | a · b = aₓbₓ + a_yb_y + a_zb_z, cos θ = (a · b) / (|a| |b|)
Dot product (a · b)
32
Cross product (a × b)
(-3, 6, -3)
Magnitude |a|
3,7417
Magnitude |b|
8,775
Cross magnitude |a × b|
7,3485
Angle between a and b
12,9332 degrees (0,225726 radians)
Relationship
Oblique
3D Vector CalculatorIsometric 3D plot showing vector a, vector b from the origin, the cross product a × b perpendicular to both, and the angle between a and b.xyzaba × bθ = 12,93°