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Find the ratio in which the line segment...

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

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

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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.

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 direction cosines of the line segment joining (1,-1,2) and (2,1,1).

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USHA PUBLICATION-VECTORS THREE DIMENSIONAL GEOMETRY -EXERCISE
  1. Find the image of the point (5,3,-2)w.r.t yz-plane.

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  2. Find the number of points (x, y, z) in space other than the point (1,-...

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  3. Find the ratio in which the line segment through (1,3,-1) and (2,6,-2)...

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  4. Write the value of y so that the points (1,y,2),(3,2,-1) and (-4,6,3) ...

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  5. If O be the origin and P is the point (3,4,5),what are the direction c...

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  6. If a line makes angles alpha, beta  and gamma  with the positive direc...

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  7. If the d.cs of a straight line be << 2/7 , 3/7, k/7 >>, then what is t...

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

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  9. The projection of a line segment axes are 3,4,12.Find the length and d...

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  10. Find the equation of the plane passing through the line x = y = z and ...

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  11. State true or False .The planes 2x +4y -z + 1 = 0 and x - 2y - 6z + 3 ...

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  12. Write the equation of the plane 3x-4y+z+5=0 in normal form.

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  13. Write the equation of the plane x+3y-7z+2=0 in the intercept from.

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  14. Find the equation of the plane passing through the point (2,3,1) and d...

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  15. Show that the ax+by+d =0 is perpendicular to xy-plane.

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  16. What are the direction cosines of the normal to the plane X+y+1=0?

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  17. Write the equation of the plane passing through (3,-6,-9) and parallel...

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

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  19. What is the distance of the point (1,1,1)from the plane y=x?

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  20. Find the direction cosines of the line segment joining (3,6,1) and (4,...

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