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Questions  

The square of the projection of the join of the points 1,4,7 and 2,5,8 on the line whose direction cosines are13,13,13, is

a
3
b
4
c
5
d
6

detailed solution

Correct option is A

The length of the projection of the line segment joining Ax1,y1,z1,Bx2,y2,z2  on the line whose direction cosines are l,m,n is lx2−x1+my2−y1+nz2−z1Hence, the  projection of the join of the points 1,4,7and 2,5,8on the linewhose direction cosines are13,13,13 is131+1+1=3 Therefore, the required value is 3

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