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How would you find the signed angle theta from vector a to b?

Can you tell something that can give me the minimum angle to rotate from a to b. A positive sign indicates a rotation from +x-axis towards +y-axis. Conversely, a negative sign indicates a rotation from +x-axis towards -y-axis.

assert angle((1,0),(0,1)) == pi/2.
assert angle((0,1),(1,0)) == -pi/2.
Dec 11, 2018 in Python 2,826 views

## 1 answer to this question.

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If you have an atan2() function in your math library of choice:

signed_angle = atan2(b.y,b.x) - atan2(a.y,a.x)
answered Dec 11, 2018 by
• 13,300 points

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