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Find the distance of the point (2hati-ha...

Find the distance of the point `(2hati-hatj-4hatk)` from the plane `vecr.(3hati-4hatj+12hatk)=9`.

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The correct Answer is:
`47/13` units
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Find the distance of the point hati+2hatj-hatk from the plane vecr.(hati-2hatj+4hatk)=10

Find the perpendicular distance from the point (2hati-hatj+4hatk) to the plane vecr.(3hati-4hatj+12hatk) = 1 .

Find the distance of the point 2hati + hatj + hatk) from the plane barr *(hati + 2hatj +4hatk) = 13 .

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

Find the perpendicular distance from the point (2hati+hatj-hatk) to the plane vecr.(i-2hatj+4hatk) = 3 .

Find the distance of the point (3,4,5) from the plane vecr.(2hati-5hatj+3hatk)=13

Find the distance of a point (2,5,-3) from the plane vecr.(6hati-3hatj+2hatk)=4.

The vector equation of the plane through the point 2hati-hatj-4hatk and parallel to the plane vecr.(4hati-12hatj-3hatk)-7=0 , is

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RS AGGARWAL-THE PLANE-Exercise 28C
  1. Find the distance of the point (2hati-hatj-4hatk) from the plane vecr....

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  2. Find the distance of the point (1,2,5) from the plane vecr.(hati+hatj+...

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  3. Find the distance of the point (3,4,5) from the plane vecr.(2hati-5hat...

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  4. Find the distance of the point (1,1,2) from the plane vecr.(2hati-2hat...

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  5. Find the distance of the point (21,0) from the plane 2x+y+2z+5=0.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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