Originally Posted by

**treetheta** alright so I am having doubt in my professors answer to this question or maybe I am doing something wrong so before i go speak with him, i wanna ask some other professionals

Find the distance of the point P = (1,2,-3) to the line: (1,-2,1) + t(2,3,4)

The vector from (1,2,-3) to (1,-2,1) is (0,4, -4) = A

and the direction vector is (2,3,4) = B

so sinθ = |AxB|/ [|A|][|B|]

where |AxB| = 12

|A| = √32

|B| = √29

so |A|sinθ = 12/√29

however my profs answer is √(32 - 16/29)