Show that the points A, B and C with position vectors, $\overrightarrow a = 3\hat i − 4\hat j − 4\hat k, \overrightarrow b = 2\hat i − \hat j + \hat k$ and $\overrightarrow c = \hat i − 3\hat j − 5\hat k$ , respectively form the vertices of a right angled triangle.

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