如何创建一个 AB 的单位向量，朝向一定的度数并计算它们之间的角度？

Question

这里可以看到Vector AB

目标：使Vector AC找出α

问题：为了找出角度 α，我首先需要第二个矢量 AC，它必须指向 190°，并且与 AB 的单位矢量具有相同的长度。如何创建该 Vector？

            A = (5, 10)
            B = (10, 5)

            distance = np.array([B[0] - A[0], A[1] - B[1]]) # Vector from A to B
            unit_vector = distance / np.linalg.norm(distance) # unit vector

            # Need to make Vector AC here

            # Get angle between vector AB and vector AC
            AB = unit_vector(unit_vector)
            AC = unit_vector(c)
            print(np.arccos(np.clip(np.dot(AB, AC), -1.0, 1.0)))

Answer 1

好的，看看这个。鉴于您的积分 (5,10) 和 (10,5)：

C:\tmp>python
Python 3.7.3 (v3.7.3:ef4ec6ed12, Mar 25 2019, 22:22:05) [MSC v.1916 64 bit (AMD64)] on win32
Type "help", "copyright", "credits" or "license" for more information.
>>> import math

## Find the angle to AB using traditional 0-to-the-right axes.

>>> math.atan2(-5,5)
-0.7853981633974483

## Convert to degrees.

>>> math.atan2(-5,5) * 180 / math.pi
-45.0

## Subtract 90 to shift the 0 point to the north

>>> math.atan2(-5,5) * 180 / math.pi - 90
-135.0

## Modulo 360 to make it positive

>>> (math.atan2(-5,5) * 180 / math.pi - 90) % 360
225.0

##  Subtract 190, and we get the value for the angle alpha.

>>> (math.atan2(-5,5) * 180 / math.pi - 90) % 360 - 190
35.0

如何创建一个 AB 的单位向量，朝向一定的度数并计算它们之间的角度？

How to create a unit vector of AB towards a number of degrees and calculate the angle between them?

python

math

vector

angle

degrees