The coordinates of any point on the given line are (2r + 1, -3r -1, r)The distance of this point from the point (1,-1,0) is given to be 4√14 ⇒ (2r)2+(−3r)2 + (r)2 = (4√14)2 ⇒ 14r2 = 16 × 14 ⇒ r = ±4 So the coordinates of the required point are(9,-13, 4) or(-7, 11,-4) Out of which nearer the origin is ( - 7, 11, -4)