Question

Find the co-ordinates of those points on the line (x – 1)/2 = (y + 2)/3 = (z – 3)/6 which are at a distance of 3 units from the point (1, –2, 3).

Answer 1

Any point on the given line is 

P:(2λ + 1, 3λ – 2, 6λ + 3)

Let Q:(1, – 2, 3)

Given PQ = 3 

PQ² = 9