Online calculator. Vector projection.

Guide - Vector projection calculator

To find projection of one vector on another:

• Select the vectors dimension and the vectors form of representation;
• Type the coordinates of the vectors;
• Press the button "Find vector projection" and you will have a detailed step-by-step solution.

Entering data into the vector projection calculator

You can input only integer numbers or fractions in this online calculator. More in-depth information read at these rules.

Additional features of the vector projection calculator

• You can navigate between the input fields by pressing the keys "left" and "right" on the keyboard.

Definition. Projection of the vector AB on the axis l is a number equal to the value of the segment A₁B₁ on axis l, where points A₁ and B₁ are projections of points A and B on the axis l.

Definition. The vector projection of a vector a on a nonzero vector b is the orthogonal projection of a onto a straight line parallel to b.

Vector projection - formula

The vector projection of a on b is the unit vector of b by the scalar projection of a on b:

The scalar projection of a on b is the magnitude of the vector projection of a on b.