This free online calculator help you to find direction cosines of a vector.

Using this online calculator, you will receive a detailed step-by-step solution to your problem, which will help you understand the algorithm how to find the direction cosines of a vector.

Calculator

Guide

Some theory

Direction cosines of vector calculator

Dimension of a vector:
Form of vector representation:

Input vector:

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Guide - how to use vector direction cosines calculator

To find the direction cosines of a vector:

Select the vector dimension and the vector form of representation;

Type the coordinates of the vector;

Press the button "Calculate direction cosines of a vector" and you will have a detailed step-by-step solution.

Entering data into the vector direction cosines 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 direction cosines calculator

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

Theory. Direction cosines of a vector

Definition. The direction cosines of the vectora are the cosines of angles that the vector forms with the coordinate axes.

We label these direction angles alphaα - angle with the x axis, betaβ - angle with the y axis and gammaγ - angle with the z axis.

To find the direction cosines of the vectora is need to divided the corresponding coordinate of vector by the length of the vector: