dash–calculator

Panel 01

Vectors and Coordinates calculators

Vector lengths, unit vectors, cross products, the angle between two planes, 2D rotation and Cartesian-to-spherical conversion, each with the formula and a worked example.

Calculators on this panel
5
Typical formula
|v| = √(x² + y² + z²)
Photo collage: a drafting table with a large sheet of plain graph paper, a steel ruler, a compass and coloured arrows of tape on a grid.

Top of the panel

Everything in Vectors and Coordinates

PageWorks outExample result
3D Unit Vector CalculatorUnit vector x0.2857
Angle Between Two Planes CalculatorAngle between the planes63.6122 °
Convert to Spherical Coordinates CalculatorRadius ρ1.7321
Coordinate Rotation Calculator (2D)New x′2.0981
Vector Cross Product Calculator (3D)(a × b) x-3.000

Every calculator uses a standard formula and shows it. How the calculators work.