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Find the co-ordinates of the points wher...

Find the co-ordinates of the points where the line through the points (3,-4,-5) and (2,-3,1) crosses the plane `2x+y+z=7`

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Find the co-ordinates of the point where the line joining the points (1,-2,3) and (2,-1,5) cuts the plane x-2y+3z=19 . Hence, find the distance of this point from the point (5,4,1).

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the vector equation of the line passing through (1, 2, 3) and par...

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  2. Find the vector equation of the line passing through the point (1,2,-4...

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  3. Find the co-ordinates of the points where the line through the points ...

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  4. Show that the equation of the plane passing through a point having pos...

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  5. Find the distance of the point (2,1,0) from the plane 2x+y+2z+5=0.

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  6. Find the distance of the point with position vector -hati-5hatj-10hatk...

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  7. Find the point, where the line joining the points (1,3,4) and (-3,5,2)...

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  8. Find the equation of the plane passing through the line of intersectio...

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  9. If from a point P(a,b,c) perpendicular PA and PB are drawn to yz and z...

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  10. If O be the origin and the coordinates of P be (1, 2, – 3), then find ...

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  11. Find the equation of the plane which contains the line of intersection...

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  12. Prove that the S.D. between a diagonal of a rectangular parallelopiped...

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  13. What is the equation of the xy-plane?

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  14. If a line makes an angle alpha, beta, gamma with x axis, y axis and z ...

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  15. Write the direction cosines of the vector : 2hati+2hatj+3hatk

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  16. Find the vector equation of the line (x+4)/3=(y+3)/7=(z-5)/2

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  17. Find the equation of a st line through (3,1,-5) and equally inclined t...

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  18. The distance of the point (2,3,-5) from the plane x+2y-2z-9=0 is ........

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  19. Find the distance of the plane x-3y+2z-8=0 from the origin.

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  20. Find the intercepts cut off by the plane x+4y-2z=8 with the axes.

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