Question
Find the vector equation of the line passing through the point (2, –1, –1) which is parallel to the lines 6 x – 2 = 3 y + 1 = 2 z – 2.
Solution
Here
The equation of line is
or
∴ direction ratios of the line are 1, 2, 3.
∴ line is parallel to the vector
∴ vector equation of line is