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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