Q14 of 136 Page 29

Find the points on the line at a distance of 5 units from the point P(1, 3, 3).

let Q be the point on the given line

It is of the form (3–2, 2–1, 2 + 3)


By letting


distance of point P from PQ =







So the points on the line are ((3(0)–2), (2(0)–1), (2(0) + 3)) and (3(2)–2, 2(2)–1, 2(2) + 3)


i.e. (–2, –1, 3) and (4, 3, 7)


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