=t Any point taken on the given straight line will be P=(t+2,5t+1,2t) Let P is the point on the line which is least distance from (3,5,2)=Q (say) ∴ Direction ratios of PQ=⟨t−1,5t−4,2t−2⟩ Now, PQ is perpendicular to the given line. ∴(t−1)×1+(5t−4)×5+(2t−2)×2=0 ⇒t−1+25t−20+4t−4=0 ⇒30t=25⇒t=25∕30 ⇒t=5∕6 ∴P=(