Find the magnitude (length) and unit vector of a vector in any dimension. Enter the components separated by commas.
Magnitude
—
Length of the vector.Usage Tip
Dividing a vector by its magnitude gives a unit vector — useful for describing pure direction.
THE MATH
magnitude = √(sum of squared components)
unit vector = each component ÷ magnitude
unit vector = each component ÷ magnitude
A vector magnitude is its length, found by the Pythagorean theorem extended to any number of dimensions.
The unit vector points the same way with length 1.
The unit vector points the same way with length 1.
Enter two or more components separated by commas (2D, 3D, or higher).
The unit vector and sum of squares are shown.
A zero vector has no defined direction.
The unit vector and sum of squares are shown.
A zero vector has no defined direction.