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If (x(1),y(1),z(1)) , (x(2),y(2),z(2)) ...

If `(x_(1),y_(1),z_(1)) , (x_(2),y_(2),z_(2)) , (x_(3) ,y_(3),z_(3)) ` and ` (x_(4) , y_(4) , z_(4)) ` be the consecutive vertices of a parallelogram, show that `x_(1)+x_(3)=x_(2)+x_(4),y_(1)+y_(3)=y_(2)+y_(4)` and `z_(1)+z_(3)=z_(2)+z_(4)`.

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CHHAYA PUBLICATION-INTRODUCTION TO THREE-DIMENSIONAL COORDINATE GEOMETRY -Very Short Answer Type Questions
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  8. Prove that the points ( 4 , 7 , 6) , ( 2 , 3 , 2 ) , ( - 1, -2, -1) ...

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  9. Three consecutive vertices of a parallelogram are ( 1 , 2, - 4) , ( -...

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  10. Two vertices of the parallelogram ABCD are A( 8 , 14 , 12) and B( ...

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  12. Determine the coordinates of the point which is equiistant from the ...

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  14. Find the equation to the locus of a point the sum of the squares of w...

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  15. Prove that the four points ( 1 , 1 , 1) , (-2 , 4 , 1) , (-1 , 5 ...

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  16. Prove that the points ( 2 , 3, 5) , ( - 4 , 7 , - 7) , ( - 2 , 1 ,...

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  17. Show that the points ( 0 ,0,0) , ( - 2 , 0, 0) , ( 0 , 2 , 0) and...

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