Use this orthogonal projection calculator to quickly find the projection of a vector onto a subspace in Euclidean space.
Orthogonal Projection Calculator
Use this calculator to find the orthogonal projection of a vector U onto a vector V.
How to Use
Enter the components of vector U and vector V in the fields provided, with each component separated by a comma (e.g. 1,2,3). Then click “Calculate” to get the orthogonal projection.
How It Calculates
The calculator computes the dot product of vector U and vector V, divides it by the magnitude squared of vector V, and then multiplies vector V by this scalar to get the orthogonal projection. The result is displayed in a parenthesized format.
Limitations
The calculator assumes that inputs are numerical, components are separated by commas, and both vectors are three-dimensional. It does not handle non-numerical inputs or vectors of other dimensions.