[Step-by-Step] Let s satisfy x=6+8t,y=3-2t,z=-6+5t, T satisfy 4 x+5 y+z=20, and U satisfy -3 x+y+6 z=36. Find (a) the acute angle between s and T, and (b)
Question: Let \(s\) satisfy \(x=6+8t,y=3-2t,z=-6+5t\), \(T\) satisfy \(4 x+5 y+z=20\), and \(U\) satisfy \(-3 x+y+6 z=36\). Find (a) the acute angle between \(s\) and \(T\), and (b) the acute angle between \(T\) and U. Express answers to the nearest hundredth of a degree.
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