The projection of the line segment joining the point 1 , - 1 , 3 and 2 , - 4 , 11 on the line joining the points - 1 , 2 , 3 and 3 , - 2,10 is _______

Question

The projection of the line segment joining the point 1 , - 1 , 3 and 2 , - 4 , 11 on the line joining the points - 1 , 2 , 3 and 3 , - 2,10 is _______,

MARKS App · Accepted Answer

Let A 1 , - 1,3 , B 2 , - 4 , 11 A B → = i ^ - 3 j ^ + 8 k ^ C - 1 , 2 , 3 , D 3 , - 2 , 10 C D → = 4 i ^ - 4 j ^ + 7 k ^ Projection of A B → on C D → = A B → . C D → C D → = 4 + 12 + 56 16 + 16 + 49 = 72 9 = 8

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