# Line intersection in 3D coordinate system

Geometry Level pending

Line $$m$$ passes through two points $$A=(3, 2, 3)$$ and $$B=(-1, 1, 2)$$ and intersects with the line $$l:\frac{x-1}{4}=\frac{y}{-3}=\frac{z-2}{5}.$$ If the acute angle between $$l$$ and $$m$$ is $$\theta,$$ what is the value of $$10\cos{\theta}?$$

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