Direction of Vector

vector_direction(vector)

Calculates the direction of a vector in radians and degrees

Parameters

vector (list of int or float) – List of two numbers representing a vector, in which the first number is the horizontal component and the second is the vertical component

Raises

  • TypeError – Argument must be a 1-dimensional list

  • TypeError – Elements of argument must be integers or floats

  • ValueError – Argument must contain exactly two elements

Returns

  • direction[‘radian’] (float) – Measure of the angle of the vector in radians

  • direction[‘degree’] (float) – Measure of the angle of the vector in degrees

See also

component_form(), vector_magnitude(), unit_vector()

Notes

  • Vector: \(\langle x, y \rangle\)

  • Direction of vector: \(\theta = \tan^{-1}(\frac{y}{x})\)

  • Direction

Examples

Import vector_direction function from regressions library
>>> from regressions.vectors.direction import vector_direction
Determine the direction of a vector with a component form of [7, 5]
>>> direction_positive = vector_direction([7, 5])
>>> print(direction_positive['radian'])
0.6202494859828215
>>> print(direction_positive['degree'])
35.53767779197438
Determine the direction of a vector with a component form of [-3, 11]
>>> direction_negative = vector_direction([-3, 11])
>>> print(direction_negative['radian'])
-1.3045442776439713
>>> print(direction_negative['degree'])
-74.74488129694222