The projection of the line segment joining the point 1 , - 1 , 3 and 2 , - 4 , 11 on the line joining the…

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 _______

Solution

Let A 1,-1,3 , B 2,-4,11
AB→=i^-3j^+8k^
C -1,2,3 , D 3,-2,10
CD→=4i^-4j^+7k^
Projection of AB→ on CD→ =AB→.CD→CD→=4+12+5616+16+49=729=8

Asked in: JEE Main 2020 (09 Jan Shift 1)

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