The distance of point A (-2,3, 1) from the line PQ through P (-3, 5,2), which makes equal angles with the axes is

Here, α=β=γ∵    cos2⁡α+cos2⁡β+cos2⁡γ=1∴     cos⁡α=13Direction cosines of PQ a 13,13,13PM - Projection of AP on PQ =(−2+3)13+(3−5)13+(1−2)13=23and AP=(−2+3)2+(3−5)2+(1−2)2=6AM=(AP)2−(PM)2=6−43=143