If $\hat i+ \hat j+\hat k,\: 2\hat i+5\hat j,\: 3\hat i+2\hat j=3\hat k\: and \: \hat i-6\hat j-\hat k$ are the position vectorsof the points A,B,C and D, find the angle between $\overrightarrow{AB}\: and \: \overrightarrow{CD}$. Deduce that $\overrightarrow{AB}\: and \: \overrightarrow{CD}$ are collinear.

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