Given line
== → (1)
Point P(1, 6, 3) and reflection Q.
Let
===λ and point R on line. So, coordinates of R is
(λ,1+2λ,2+3λ) Direction ratios of line is (1, 2, 3).
Since PR is perpendicular to the given line. Then, direction ratios of
=(λ−1,2λ−5,3λ−1) So,
λ−1+2(2λ−5)+3(3λ−1)=0 ⇒14λ=14⇒λ=1 Therefore, R(1, 3, 5) and Q(1, 0, 7)