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Determine the direction cosines of the n...

Determine the direction cosines of the normal to the plane and the distance from the origin.
z = 2.

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V PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Find the distance of a point (2,5,-3) from the plane vecr .(6 hati-3 h...

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  2. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  3. Determine the direction cosines of the normal to the plane and the dis...

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  4. Find the vector equation of a plane which is at a distance of 7 units...

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  5. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

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  6. Find the vector and cartesian equations of the planes a) that passes ...

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  7. Find the equation of the planes that pass through the points.. (1, 1,...

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  8. Find the intercepts cut off by the plane 2x + y - z = 5

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  9. Find the equation of the plane with intercept 3 on the y-axils and ...

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  10. Find the equation of the plane through the intersection of the planes ...

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  11. Find the vector equation of the plane passing through the intersection...

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  12. Find the vector equation of the plane through the line of intersection...

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  13. Find the angle between the planes whose vector equations are vecr.(2h...

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  14. A line makes angles angle, beta, gamma and delta with the diagonals of...

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  15. Find the equation of the plane that contains the point (1, -1, 2) and ...

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  16. Find the distance between the point P(6, 5, 9)and the plane determine...

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  17. Show that the lines (x-a+d)/(alpha-delta)=(y-a)/alpha=(z-a-d)/(alph...

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  18. Find the coordinates of the point where the line through the points...

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  19. Show that the line joining the origin to the point (2, 1, 1)is perpen...

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  20. If l1,""""m1,""""n1 and l2,""""m2,""""n2 are the direction cosines ...

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