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Find the value of k for whicj the planes...

Find the value of k for whicj the planes: `3x-6y-2z=7 and 2x+y-kz=5` are perpendicular to each other.

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Find the angle between the following planes 3x-6y-2z=7 and 2x+y-2z=5

Find the angle between the two planes 3x-6y+2z = 7 and 2x+2y-2z = 5

Find the value of k for which the following lines are perpendicular to each other: (x+3)/(k-5)=(y-1)/(1)=(5-z)/(-2k-1),(x+2)/(-1)=(2-y)/(-k)=(z)/(5) Hence, find the equation of the plane containing the above lines.

Show that the lines : 3x-2y+5=0, y+3z-15=0 and (x-1)/5=(y+5)/-3=z/1 are perpendicular to each other.

The angle between two planes : 3x-6y+2z=7 and 2x+2y-2z=5 is :

Show that the lines (x-5)/7 = (y+2)/-5 = z/1 and x/1 = y/2 = z/3 are perpendicular to each other

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vec...

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  2. Find the angle between the planes : vecr*(2hati+2hatj-3hatk)=5 and vec...

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  3. Find the value of k for whicj the planes: 3x-6y-2z=7 and 2x+y-kz=5 are...

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

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  5. Find the vector equation of the plane through the point (2,0,-1) and p...

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  6. Find the equation of the plane passing through the points (1,2,1) and ...

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  7. Find the vector and cartesian equations of the plane which passes thro...

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  8. Find the vector and cartesian equations of the plane that passes throu...

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  9. Find the vector and cartesian equations of the plane that passes thro...

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  10. Find the length of the perpendicular from the point(2,3,7) to the plan...

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  11. In the following , find the distance of each of the given points from ...

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  12. In the following , find the distance of each of the given points from ...

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  13. In the following case, find the distance of each of the given point fr...

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  14. In the following case, find the distance of each of the given point fr...

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  15. In the following, determine the direction cosines of the normal to the...

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  16. In the following, determine the direction cosines of the normal to the...

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  17. If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr*...

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  18. In the following case, find the coordinates of the foot of the perpend...

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  19. In the following case, find the coordinates of the foot of the perpend...

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  20. In the following cases, find the co-ordinates of the foot of the perpe...

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