Find the angle between the following pairs of lines:

We know that
If θ is the acute angle between
and
, then
……(i)
(i)
and ![]()
Here
and ![]()
So, from (i), we have
……(ii)
⇒ ![]()
⇒ ![]()
And ![]()
Now, ![]()
⇒ ![]()
⇒ By (ii), we have
⇒ 
⇒ 
(ii)
and ![]()
Here,
and ![]()
So, from (i), we have
…(iii)
⇒ ![]()
⇒ ![]()
And ![]()
Now, ![]()
⇒ ![]()
⇒ By (iii), we have
⇒ 
⇒ 