The point in which the join of A(- 9, 4, 5) and B(11, 0, -1) is met by the perpendicular from the origin
(1, 2, 2)
Let P be the required point on AB. Let P divides AB in the ratio λ:1
P = (11λ−9λ+1,4λ+1,5−λλ+1) , OP⊥ AB ⇒ 20(11λ−9λ+1)-4(4λ+1)-6(5−λλ+1)=0
∴ λ=1 ⇒ P=(1,2,2)