Orthogonal projection is a method used in linear algebra to find the projection of one vector onto another. It is a fundamental concept in mathematics and has many applications in various fields. Calculating orthogonal projections can be complex and time-consuming, which is why having a calculator to do the math for you can be incredibly helpful.

Definition

Orthogonal projection is the process of projecting a vector onto another vector such that the projected vector is perpendicular to the vector being projected onto. This creates a right angle between the two vectors.

Formula

The formula for calculating the orthogonal projection of vector a onto vector b is:

Projb(a) = (a ⋅ b) / ||b||2 * b

Calculator

Use the orthogonal projection calculator below to quickly and easily find the projection of one vector onto another:

 

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