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Using section formaul, show that the poi...

Using section formaul, show that the points (2, -1, 3), (0, 1, 2) and `(2/3, 1/3, 7/3)` are collinear.

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AAKASH INSTITUTE ENGLISH-THREE DIMENSIONAL GEOMETRY -TRY YOURSELF
  1. Find the ratio in which the line joining the points (2, 3, 5) and (3, ...

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  2. Using section formula, show that the points A(1, 2, 1), B(2, 1, 0) and...

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  3. Using section formaul, show that the points (2, -1, 3), (0, 1, 2) and ...

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  4. A point with x-coordinate 9 lies on the line segment joining the point...

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  5. A point with z-coordinate 6 lies on the line segment joining the poin...

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  6. Find the coor dinates of the centrod of a triangle whose coordinates a...

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  7. If (1, 1, 1) is the centroid of the triangle with vertices (2a, 3, 7),...

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  8. The mid-points of the sides of a triangle are given by (3, 2, -4), (9,...

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  9. The mid-points of the sides of a triangle ABC are given by A(0, 0, 0),...

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  10. If P has coordinates (5, 4, -9). What is length OP and it's direction ...

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  11. If a line makes angle of 90^0, 60^0"and\ "30^0 with the positive di...

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  12. What are the direction cosines of Y-axis?

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  13. Find the direction cosine of a line passing through origin and the poi...

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  14. Find the direction cosines of the line passing through (0, 1, -2) and ...

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  15. Find the direction ratios and the direction cosines of the vector vecr...

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  16. Show that the points P" "(2," "3," "5) , Q" "(1," "2," "3) and R (7," ...

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  17. Show that the points A(1, -2, -8), B(5, 0, -2) and C(11, 3, 7) are col...

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  18. Find the vector equation of a line through the point (-3, 2, -4) and i...

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  19. Find the vector equation of a line passing through origin and is paral...

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  20. Find the equation of line which passes through a point (-1, 2, 3) and ...

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