If the direction cosines of two lines are given by and , then the angle between them is:
Explanation for the correct option.
Step 1: Find the relation between direction cosines
Given the direction cosines of lines are, and .
Substitute equation (1) in we get:
Now solving we get:
Step 2: Find the angle
For and direction ratios are:
Now the angle between direction ratios is given by:
Hence, option D is correct.