Online calculator. Direction cosines of a vector

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.

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

We label these direction angles alpha α - angle with the x axis, beta β - angle with the y axis and gamma γ - angle with the z axis.

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