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Prove by using distance formula that the...

Prove by using distance formula that the points `A(1,2,3),B(-1,-1,-1)and C(3,5,7)` are collinear.

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Given,`A(1,2,3),B(-1,-1,-1)and C(3,5,7)`
Lt AB=`sqrt((-1-1)^2+(-1-2)^2+(-1-3)^2)`
=`sqrt(4+9+16)`
=`sqrt(29)`
BC=`sqrt((3+1)^2+(5+1)^2+(7+1)^2)`
=`sqrt(16+36+64)`
=`2sqrt(29)`
CA=`sqrt((3-1)^2+(5-2)^2+(7-3)^2)`
...
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RD SHARMA-INTRODUCTIONS TO 3-D COORDINATE GEOMETRY-Solved Examples And Exercises
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  15. Name the octants in which the following points lie: (5,2,3)

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  16. Name the octants in which the following points lie: (-5,-4,7)

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  17. Name the octants in which the following points lie: (-5,4,3)

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  18. Name the octants in which the following points lie: (-5,-3,-2)

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  19. Name the octants in which the following points lie: (4,-3,5)

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  20. Name the octants in which the following points lie: (2,-5,-7)

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