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Find the vector equation of the plane pa...

Find the vector equation of the plane passing through the intersection of the planes : `vecr*(2hati-hatj+2hatk)=2 and vecr*(3hati+hatj-2hatk)=-2` and perpendicular to the `veca=5hati-2hatj+3hatk`.

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Find the vector equation of the plane passing through the intersection of the planes vecr.(hati+hatj+hatk) =6 and vecr.(2hati+3hatj+4hatk)=-5 and point (1,1,1)

Find the vector equation of the line passing through (1, 2, 3) and parallel to the planes vecr.(hati-hatj+2hatk)=5 and vecr.(3hati+hatj+hatk)=6.

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (hati+hatj+hatk) = 6 and vecr cdot(2hati + 3hatj+4hatk) = -5 , and the point (1, 1, 1).

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

Find the equation of the plane passing through the line of intersection of the planes vecr cdot (hati+hatj+hatk) = 1 and vecr cdot(2hati+3hatj-hatk)+4 = 0 and parallel to x-axis.

Find the vector equation of the plane passing through the intersection of the planes vecr cdot (2hati+2hatj-3hatk) = 7, vecr cdot(2hati + 5hatj + 3hatk) = 9 and through the point (2, 1, 3)

Find the vector equation of the line through the origin, which is perpendicular to the plane vecr*(hati-2hatj+hatk)=3 .

Find the vector equation of the plane through the planes : vecr*(hati+hatj+hatk)=6 and vecr*(2hati+3hatj+4hatk)=-5 at the point (1,1,1).

Find the acute angle between the planes vecr.(hati+2hatj-hatk)=3 and vecr.(2hati-hatj+2hatk)=2 .

Find the vector equation of the line passing through (1, 2, 3) and perpendicular to the plane vecr cdot(hati+2hatj-5hatk) + 9 = 0

MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. Find the equation of the plane passing through the line of intersectio...

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  2. Find the equation of the plane through the line of intersection of the...

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

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  4. Find the equation of the plane passing through the points (2,2,1), (9,...

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  5. Find the equation of the plane passing through the point ( 1, -1 , 2) ...

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  6. Find the equation of the plane passing through the point (1,1,-1) and ...

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  7. Find the equation of the plane through the point (-1, -1, 2) and perpe...

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  8. The distance of the point P(-2, 3, -4) from the line (x+2)/(3)=(2y+3)/...

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  9. Find the ratio in which the line segment joining : (2,1,5) and (3,4,3)...

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  10. Find the ratio in which the line segment joining : (1,2,3) and (-3,4,-...

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

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  12. Find the image of the point : (3,-2,1) in the plane 3x-y+4z=2

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  13. Find the image of the point : (1,2,3) in the plane 3x+2y+z=24

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  14. Find the image of the point : (2,-1,3) in the plane 3x-2y-z=9

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  15. Find the co-ordinates of the foot of perpendicular drawn from the poin...

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  16. The foot of the perpendicular drwan from origin to a plane is (4,-2,5)...

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  17. The foot of the perpendicular drwan from origin to a plane is (4,-2,5)...

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  18. The foot of the perpendicular drwan from origin to a plane is (4,-2,5)...

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  19. Find the co-ordinates of the foot of the perpendicular distance of the...

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  20. Find the length and the foot of the perpendicular from the point (7, 1...

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