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Find the lengths of the edges of the rec...

Find the lengths of the edges of the rectangular parallelopiped formed by planes drawn through the points (1, 2, 3) and (4, 7, 6) parallel to the co-ordinate planes.

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MODERN PUBLICATION-INTRODUCTION TO THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the ratio in which 2x+3y+5z=1 divides the line joining the points...

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  2. Given that A (3, 2,-4), B(5, 4, -6) and C(9, 8, -10) are collinear. Fi...

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

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  4. Given that p(3,2,-4) , Q (5,4, -6) and R (9,8,-10) are collinear find...

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  5. If the mid points of the sides of a triangle are (1, 5, -1), (0, 4, -2...

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  6. Show that the points (-1,2,1), (1,-2,5), (4,-7,8) and (2,-3,4) are ver...

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  7. Three vertices of parallelogram ABCD are A(3,-1,2), B(1,2,-4), C(-1,1,...

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  8. Show that the points A(1, 2, 3,), B (-1, -2. -1), C(2, 3, 2) and D(4, ...

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  9. The vertices of triangle are A(1,1,2),B(4,3,1) and C(2,3,5). A vector ...

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  10. Find the lengths of the medians of the triangle A (0, 0, 6), B (0, 4, ...

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  11. The centroid of a triangle ABC is at the point (1,1,1). If the coordin...

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  12. If the origin is the centroid of the triangle PQR with vertices P(2a,2...

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  13. Planes are drawn through the points (5, 0, 2) and (3, - 2, 5) parallel...

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  14. Prove that the lines joining the vertices of a tetrahedron to the cent...

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  15. Find the lengths of the edges of the rectangular parallelopiped formed...

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  16. Verify that (0, 7, 10) , (-1,6,6) and (-4, 9,6) are the vertices of a ...

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  17. Show that the points : (4, 7, 8), (2, 3, 4), (- 1, - 2, 1), (1, 2, 5) ...

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  18. Show that the points (5, - 1, 1),(7, - 4, 7), (1, - 6, 10) and (- 1, -...

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  19. If A and B be the points (3,4,5) and (-1,3,-7) respectively, find the ...

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  20. Find the co-ordinates of the point, which is equidistant from four poi...

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