basic

Vector Projection of a onto b Calculator

proj_b a = (a · b / |b|²) · b in 3-D.

Compute the projection of vector a onto vector b in 3-D: proj_b a = (a · b / |b|²) · b. Reports the scalar projection comp_b a = a · b / |b| and the projection vector components.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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Results

Enter values and click Calculate to see results.
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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

proj_b a = (a·b / |b|²) · b. comp_b a = a·b / |b|.

In depth

Compute the projection of vector a onto vector b in 3-D: proj_b a = (a · b / |b|²) · b. Reports the scalar projection comp_b a = a · b / |b| and the projection vector components.