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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.

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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 equation of the plane passing through (a, b, c) and parallel to the plane vecr cdot(hati + hatj + hatk) = 2

Find the equation of the plane which contains the line of intersection of the planes vecr cdot(hati+2hatj+3hatk) - 4 = 0 and vecr cdot (2hati + hatj - hatk) +5 = 0 and which is perpendicular to the plane vecr cdot (5hati+3hatj-6hatk) +8 =0

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 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 equation of the plane passing through the line of intersection of the planes : vecr*(hati+3hatj)-6=0 and vecr*(3hati-hatj-4hatk)=0 , whose perpendicular distance form origin is unity.

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 .

Find the equations of the plane which contains the line of intersections of the planes vecr.(hati-2hatj+3hatk)-4=0 and vecr.(-2hati+hatj+hatk)+5=0 and whose intercept on x-axis is equal to the on y-axis.

Find the equation of the plane which contain the line of intersection of the plane vecr.(hati+2hatj+3hatk)-4=0 and vecr.(2hati+hatj-hatk)+5=0 and which is perpendicular to the plane 5x+3y-6z+8=0 .

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 intersection of the...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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