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Write the ratio in which the line joinin...

Write the ratio in which the line joining the points (2,3,4) and `(-3,5,-4)` is divided by yz-plane.

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Write the ratio in which the line segment Joining the points (1, 2, —2) and (4, 3, 4) is divided by the xy — plane .

Find the ratio in which the line segment through (1,3,-1) and (2,6,-2) is divided by zx-plane.

Find the ratio in which the line segment through (2,4,5),(3,5,-4) is divided by xy-plane.

Find the equation of lines joining the points. (2,1,3) and (4,-2,5).

Find the equation of lines joining the points. (4,-6,1) and (0,3,-1)

Write the projection of the line segment joining the points (2,1,3) and (3,2,4) on z-axis.

Find the ratios in which the line segment joining (-2,-3) and (5,4) is divided by the coordinate axes and hence find the coordinates of these points.

SHARAM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Write the equation of the plane with intercepts on axes 1, -1, 3. .

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  2. What are the direction consines of the normal to the plane 3x - 2y - 2...

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  3. Write the ratio in which the line joining the points (2,3,4) and (-3,5...

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  4. Write the angle between the planes 3x -5y + 2z-8 = 0 and 2x + 4y + 7z ...

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  5. Write the equation of the line passing through (-3, 1, 2) and perpend...

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  6. Write the direction cosines of Z-axis.

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  7. What is the distance of the point (4, 5, -3) from y-axis ?

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  8. Write the equation of the plane passes through y-axis and z-axis.

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  9. Fill in the blanks in the length of the projection of the line segment...

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  10. What are the d.cs of the line through (1,-1, 1)and (2, -5,-3)?

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  11. Show that the point (3, -2, 4), (1, 1, 1) and (-1, 4,-2)are collinear...

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  12. What is the equation of x-axis in symmetric form.

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  13. What are the d.cs of the line x = y = z.

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  14. Write down the d.rs of the line 2x = 3y = 4z.

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  15. Write the equation of the plane passing through the point (3, 1, 2) a...

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  16. Find the equation of the line through the point (2, 3, 5) and parallel...

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  17. Show that lines vecr = (hat(i) + hat(j) - hat(k)) + lambda(3hat(i) - h...

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  18. The position vectors of two points A and B are 3hati+hatj+2hatk and ha...

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  19. Find the area of the triangle ABC with vertices A(1,2,4), B(3,1,-2) an...

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  20. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

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