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Show that the triangle with vetices (1,2...

Show that the triangle with vetices (1,2,5) (2,5,3) and (-1,3,2) is an equilateral triangle.

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A N EXCEL PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Fill in the blanks Co-ordinate planes divide the space into… octants

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  2. Find the distance between the point P (1,4,2) and Q (-1,2,0).

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  3. Show that the triangle with vetices (1,2,5) (2,5,3) and (-1,3,2) is an...

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  4. Consider the points P (x,y,z), O (0,0,0), A(a,0,0), B(0,b,0) and C (0,...

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  5. Consider the points P (x,y,z), O (0,0,0), A(a,0,0), B(0,b,0) and C (0,...

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  6. Consider the points A (2,4,5), B(-1,2,6) and C(-7,-2,8) Find AB, BC ...

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  7. Consider the points A (2,4,5), B(-1,2,6) and C(-7,-2,8) Prove that A...

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  8. Find the distance between the following pair of points: (2,3,5) and ...

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  9. Find the distance between the following pair of points: (-3,7,2) and...

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  10. Find the distance between the following pair of points: (-1,3,-4) an...

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  11. Find the distance between the points (2,-1,3) and (-2,1,3)

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  12. Show that the points (-2,3,5),(1,2,3) and (7,0,-1) are collinear.

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

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

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

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

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

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

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

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

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