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Show that the point (1,2,1) is equidista...

Show that the point `(1,2,1)` is equidistant from the planes `vecr.(hati+2hatj-2hatk) = 5` and `vecr.(2hati-2hatj+hatk) + 3 = 0`.

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

Find the angle between the planes. vecr.(hati+hatj+2hatk)=5 and vecr.(2hati-hatj+hatk)=8 .

Find the angles between the planes vecr(hati-2hatj-2hatk)=1 and vecr(3hati-6hatj+2hatk)=0

The angles between the planes vecr.(3hati-6hatj+2hatk)=4 and vecr.(2hati-hatj+2hatk)=3 , is

Find the angle between the planes vecr.(3hati-4hatj+5hatk)=0 and vecr.(2hati-hatj-2hatk)=7 .

The angle between the planes vecr.(2hati-hatj+hatk)=6 and vecr.(hati+hatj+2hatk)=5 is

The distance between the planes given by vecr.(hati+2hatj-2hatk)+5=0 and vecr.(hati+2hatj-2hatk)-8=0 is

Find the distance of the point (hati+2hatj-3hatk) from the plane vecr.(2hati-5hatj-hatk)=4 .

Show that the line of intersection of the planes vecr*(hati+2hatj+3hatk)=0 and vecr*(3hati+2hatj+hatk)=0 is equally inclined to hati and hatk . Also find the angleit makes with hatj .

Find the distance of the point hati+2hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=10

RS AGGARWAL-THE PLANE-Exercise 28C
  1. Find the distance of the point (21,0) from the plane 2x+y+2z+5=0.

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  2. Find the distance of the point (2,1,-1) is equidistant from the plane ...

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  3. Show that the point (1,2,1) is equidistant from the planes vecr.(hati+...

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  4. Show that the points (-3,0,1) and (1,1,1) are equidistant from the pla...

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  5. Distance between the two planes: 2x + 3y + 4z = 4and 4x + 6y + 8z = 12...

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  6. Find the distance between the parallel planes x+2y-2z+4=0 and x+2y-2z-...

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  7. Find the equations of the planes parallel to the plane x-2y+2z-3=0, ea...

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  8. Find the equation of the plane which passes through the point (3,4,-1)...

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  9. Find the equation of the plane mid-parallel to the planes 2x-3y+6z+21=...

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  10. Show that the planes 2x-y+6z=5 and 5x-2.5y+15z=12 are parallel.

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  11. Find the vector equation of the plane through the point (3hati+4hatj-h...

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  12. Find the equation of the plane passing through (a,b,c) and paralle tot...

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  13. Find the vector equation of a plane which is parallel to the plane vec...

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  14. Find the equation of the plane through the point (1,4,-2) and parallel...

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  15. Find the equation of the plane passing through the origin and parallel...

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  16. Find the equation of the plane passing through the point (-1,0,7) and ...

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  17. Find the equations of the planes parallel to the plane x-2y+2z-3=0 whi...

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  18. Find the distance between the planes x+2y+3z+7=0 and 2x+4y+6z+7=0.

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  19. Find the equation of a plane containing the line of intersection of...

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

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