the cartesian equation of the line can be written as

We have written the above equation ion this way because the coefficients of x, y, z must be 1

Therefore the direction ratios of the above line are ‹a, 1, c›

Let

Therefore x = b + a, y = , z = d + c….(1)

….(2)

Hence comparing 1&2

The vector equation of the line is given as