basic

3-D Vector Projection Calculator

Projection of A onto B in three dimensions.

Compute the projection of vector A onto vector B in 3-D space: proj_B(A) = (A · B / |B|²) · B. Returns the projection vector components and the scalar projection magnitude.

Daniel Oh By Daniel Oh
Published Last reviewed 1 min read

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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

In depth

Compute the projection of vector A onto vector B in 3-D space: proj_B(A) = (A · B / |B|²) · B. Returns the projection vector components and the scalar projection magnitude.