Magnitude of Vector

vector_magnitude(vector)

Calculates the magnitude of a vector

Parameters

vector (list of int or float) – List of numbers representing a vector

Raises

  • TypeError – Argument must be a 1-dimensional list

  • TypeError – Elements of argument must be integers or floats

Returns

magnitude – Measure of the size of the vector, as determined by taking the root of the sum of the squares of its components

Return type

float

See also

component_form(), vector_direction(), unit_vector()

Notes

  • Vector: \(\mathbf{a} = \langle a_1, a_2, \cdots, a_n \rangle\)

  • Magnitude of vector: \(\|\mathbf{a}\| = \sqrt{a_1^2 + a_2^2 + \cdots + a_n^2}\)

  • Magnitude

Examples

Import vector_magnitude function from regressions library
>>> from regressions.vectors.magnitude import vector_magnitude
Determine the magnitude of the vector with components [7, 5, -1]
>>> magnitude_3d = vector_magnitude([7, 5, -1])
>>> print(magnitude_3d)
8.660254037844387
Determine the magnitude of the vector with components [3, 2]
>>> magnitude_2d = vector_magnitude([3, 2])
>>> print(magnitude_2d)
3.605551275463989