Research Workbench

Two-coordinate projection check

Audit dot products used in an orthogonal projection.

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Use comma-separated finite numbers on two lines. Magnitudes must be at most 1e9 and at least 1e-12, or zero.

The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.

Calculation results

Projection first coordinate
2
Projection second coordinate
4
Residual length
2.236068
Residual dot unit direction
0

How to interpret the output

Projects onto the line through the origin defined by the first vector. No centering or intercept is added. Scaling the coordinates changes the geometry. Source checked 12 November 2026.

Method reference

Read the worked guide and interpretation examples →