Let ( α , β , γ ) be the image of the point ( 8 , 5 , 7 ) in the line 2 x − 1 = 3 y + 1 = 5 z − 2 . Then α + β + γ is equal to :

Question

Let ( α , β , γ ) be the image of the point ( 8 , 5 , 7 ) in the line 2 x − 1 ​ = 3 y + 1 ​ = 5 z − 2 ​ . Then α + β + γ is equal to :

TestHub · Accepted Answer

​ AM ⋅ ( 2 i ^ + 3 j ^ ​ + 5 k ^ ) = 0 ( 2 λ − 7 ) ( 2 ) + ( 3 λ − 6 ) ( 3 ) + ( 5 λ − 5 ) ( 5 ) = 0 38 λ = 57 λ = 2 3 ​ M ( 4 , 2 7 ​ , 2 19 ​ ) A ′ ( 0 , 2 , 12 ) ​

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