# Vector's projection online calculator

Projection of the vector to the axis l is called the scalar, which equals to the length of the segment AlBl, and point Al is the projection of point A to the direction of the l axis, point Bl is the projection of the point B to the direction of the l-axis:

From the elementary geometrical considerations, follows:

prl = AlBl = ABcos α = | | ∙ cos α

It's very easy to calculate the projection of the arbitrary vector to any decart axis, for instance, x-axis. Here we have, cos α is the directional cosine of the vector :

Therefore, projection of the arbitrary vector on the decart axis equals to corresponding coordinate of the vector.

A little bit complicated to calculate the projection of the abritrary vector to the arbitrary axis or arbitraty vector . In this case, we need to calculate the angle between corresponging vectors, what can be done by using the vectors scalar product formula:

, where φ - angle between vectors и .

Our online calculator is able to find the projection of one arbitrary vector to the another arbitraty vector with step by step solution for free.

## Input vectors dimension

Vectors dimension
Vector representations form:
Vector representation form:
Vector = { }
Vector :
Vector = { }
Vector :