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Question
If z1 and z2 are z co-ordinates of the points of trisection of the segment joining the points A(2,1,4),B(−1,3,6) then z1+z2=
If z1 and z2 are z co-ordinates of the points of trisection of the segment joining the points A(2,1,4),B(−1,3,6) then z1+z2=
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Solution
The correct option is D 10
For z1, the ratio of line segment is 1:2
For z2, the ratio of line segment is 2:1
By internal division formula,
Z=z1+z1
=1(6)+2(4)1+2+2(6)+1(4)2+1
=6+83+12+43
=14+163=303=10
Hence, z1+z2=10
For z1, the ratio of line segment is 1:2
For z2, the ratio of line segment is 2:1
By internal division formula,
Z=z1+z1
=1(6)+2(4)1+2+2(6)+1(4)2+1
=6+83+12+43
=14+163=303=10
Hence, z1+z2=10
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