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# Show that the lines x = - y = 2z and x + 2 = 2y – 1 = - z + 1 are perpendicular to each other.HINT: The given lines are and

Given –

&

To prove – The lines are perpendicular to each other

Direction ratios of L1 = (2,-2,1)

Direction ratios of L2 = (2,1,-2)

Tip – If (a,b,c) be the direction ratios of the first line and (a’,b’,c’) be that of the second, then the angle between these pair of lines is given by

The angle between the lines

Hence, the lines are perpendicular to each other.

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