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Line-Line Angles
The angle θ between two lines is the angle between two direction vectors of the lines.
Take line r with direction vector u and line s with direction vector v, then
The angle between the two lines is defined by:

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Calculate the angle between the following lines:
and
Solution:
u=(2,1,1) and v=(-1,2,1)
Therefore

θ=80.41º
To find the angle between the line
and the line
Solution:

θ=48.70º
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