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Home/Mathematics/Linear Algebra/Projection Calculator
Math CalculatorLinear Algebra

Projection Calculator

Compute the vector projection of one 3D vector onto another. The projection gives the component of the first vector along the direction of the second.

Updated 2025-01-153 min readCalzyra Math Team

Calculator

Enter your values below

CalculatorFree Tool

The x-component of the vector to project (u).

The y-component of the vector to project (u).

The z-component of the vector to project (u).

The x-component of the direction vector (v).

The y-component of the direction vector (v).

The z-component of the direction vector (v).

Formula & Methodology

How this calculator works

proj_v(u) = ((u · v) / (v · v)) · v

The projection of u onto v scales v by the ratio of the dot product of u and v to the dot product of v with itself.

Frequently Asked Questions

Common questions about this calculator

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