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Verify the following: (-1,2,1),(1,-2,5...

Verify the following:
`(-1,2,1)`,`(1,-2,5)`,`(4,-7,8)` and `(2,-3,4)` are
the vertices of a parllelogram.

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A N EXCEL PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Verify the following: (0,7,-10),(1,6,-6) and (4,9,-6) are the vert...

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  2. Verify the following: (0,7,10),(-1,6,6) and (-4,9,6) are the verti...

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  3. Verify the following: (-1,2,1),(1,-2,5),(4,-7,8) and (2,-3,4) are ...

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  4. Find the equation of set points which are equidistant from the points ...

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  5. Find the equation of the set of points P, the sum of whose distances f...

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  6. Consider the points P (3,4,-5) and Q (1,-2,3).Find the co-ordinates of...

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  7. Consider the points P (3,4,-5) and Q (1,-2,3).Find the ratio in which ...

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  8. Consider the points A (3,2,-4), B (5,4,-6) and C (9,8,-10).Find AB, BC...

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  9. Consider the points A (3,2,-4), B (5,4,-6) and C (9,8,-10) Using secti...

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  10. Suppose that A (2,6,-4), B(4,-2,3) and C (x,y,z) are the vertices of a...

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  11. Suppose that A (2,6,-4), B(4,-2,3) and C (x,y,z) are the vertices of a...

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  12. Suppose that three consective vertices of a parallelogram ABCD are A (...

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  13. Suppose that three consecutive vertices of a parallelogram ABCD are A ...

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  14. Find the coordinate of the point which divides the line segment joinin...

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  15. Find the co-ordinate of the point which divides the line segment joini...

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  16. Given that P (3,2,-4), Q(5,4,-6) and R(9,8,-10) are collinear. Find th...

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  17. Find the ratio in which the YZ-plane divides the line segment formed b...

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  18. Using section formula, show that the points A (2,-3,4), B(-1,2,1) and ...

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  19. Find the coordinates of the points which trisect the line segment joi...

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  20. Find the distance between the points (x,-2,-3) and (3,1,-9)

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