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Tool 469 · vector geometry studio

Calculate the vector — then see the geometry.

Work in 2 to 8 dimensions with addition, subtraction, dot product, magnitude, angle, projection, rejection, unit vectors, distance, 3D cross products, scalar triple products and Gram–Schmidt orthonormalization. 2D and 3D inputs get a live visualizer.

2D–8DProjection & rejectionCross / triple productGram–Schmidt

Vectors

Edit A, B and C directly.

Input: decimals and fractions such as 3/4 are accepted. Cross product and scalar triple product are defined here only in 3D.

Result

Choose an operation.

No result yet.

Relationship snapshot

Enter vectors to analyze them.

|A|

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|B|

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A · B

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Calculation steps appear here.
ABResult / projectionFor dimensions above 3, the visualizer shows the first two components only and labels this clearly.

Paste vectors

Export

Numerical operations use double-precision floating point and display up to 10 significant digits. Near-zero comparisons use a tolerance so parallel/perpendicular checks remain stable for ordinary classroom inputs.