Consider the line L passing through the points ( 1 , 2 , 3 ) and ( 2 , 3 , 5 ) . The distance of the point ( 3 11 , 3 11 , 3 19 ) from the line L along the line 2 3 x − 11 = 1 3 y − 11 = 2 3

Question

Consider the line L passing through the points ( 1 , 2 , 3 ) and ( 2 , 3 , 5 ) . The distance of the point ( 3 11 ​ , 3 11 ​ , 3 19 ​ ) from the line L along the line 2 3 x − 11 ​ = 1 3 y − 11 ​ = 2 3 z − 19 ​ is equal to

TestHub · Accepted Answer

​ 2 − 1 x − 1 ​ = 3 − 2 y − 2 ​ = 5 − 3 z − 3 ​ ⇒ 1 x − 1 ​ = 1 y − 2 ​ = 2 z − 3 ​ = λ ​ ​ B ( 1 + λ , 2 + λ , 3 + 2 λ ) D.R. of AB =< 3 3 λ − 8 ​ , 3 3 λ − 5 ​ , 3 6 λ − 10 ​ > B ( 3 5 ​ , 3 8 ​ , 3 13 ​ ) 3 λ − 5 3 λ − 8 ​ = 1 2 ​ ⇒ 3 λ − 8 = 6 λ − 10 3 λ = 2 λ = 3 2 ​ AB = 3 36 + 9 + 36 ​ ​ = 3 9 ​ = 3 ​

Mathematics - Vector Question with Solution | TestHub

Options:

Doubts & Discussion