Find the angle between each of the following pairs of lines:

and

Given –

&

To find – Angle between the two pair of lines

Direction ratios of L₁ = (2,1,-3)

Direction ratios of L₂ = (3,2,-1)

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