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Show that the three lines with direction cosines 12/13,-3/13,-4/13,4/13,12/13,3/13,3/13,-4/13,12/13 are mutually perpendicular.

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Show that the three lines with direction cosines

12/13,-3/13,-4/13,4/13,12/13,3/13,3/13,-4/13,12/13 are mutually perpendicular.

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Two lines with direction cosines, l1, m1, n1 and l2, m2, n2, are perpendicular to each other, if l1l2 + m1m2 + n1n2 = 0

Therefore, the lines are perpendicular. 

Thus, all the lines are mutually perpendicular.

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