Any point on the line can be written as x=λ,y=2λ+1,z=3λ+2
Hence, coordinates of Q are (λ,2λ+1,3λ+2) DR's of PQ are λ−1,2λ+1−6,3λ+2−3 i.e. λ−1,2λ−5,3λ−1 since, PQ is perpendicular to the given lines So,
1(λ−1)+2(2λ−5)+3(3λ−1)=0
⇒‌‌λ−1+4λ−10+9λ−3=0 ⇒14λ=14⇒λ=1 ∴ Coordinates of Q=(1,3,5)