Show that the lines and are perpendicular to each other.

Given –

&

To prove – The lines are perpendicular to each other

Direction ratios of L₁ = (2,-3,4)

Direction ratios of L₂ = (2,4,2)

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.