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Show that the points (1, 1, 1) and (-3, ...

Show that the points (1, 1, 1) and `(-3, 0, 1)` are equidistant from the plane `barr *(3hati + 4hatj - 12hatk) + 13 = 0`

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Explore conceptually related problems

Show that the points (1, 1, 1) and (-3, 0, 1) are equidistant from the plane 3x+4y-12 z+13=0.

Show that the points (-3,0,1) and (1,1,1) are equidistant from the plane 3x+4y-12z+13=0 .

Show that the points (1,-1,3) and (3, 4, 3) are equidistant from the plane 5x +2y + -7z + 8 = 0.

If the points (1,1,p) and (-3,0,1) be equidistant from the plane vecr.(3hati+4hatj-12hatk)+13 , find the values of p.

If the points (1,1,p) and (3,0,1) be equidistant from the plane vec r*(3hat i+4hat j-12hat k)+13=0, then find the value of p.

The points (1,1,p) and (-3,0,1) are equidistant from the plane bar(r)*(3bar(i)+4bar(j)-12bar(k))+13=0 ,then the value of p(p!=1) is

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

Show that the points (hati - hatj + 3 hatk ) and (hati+ hatj + hatk) are equidistant from the plane vecr. (5 hati + 2 hatj - 7 hatk ) + 9=0 and lies on opposite side of it.

Find the point , where the line joining the points (1,3,4) and (-3,5,2) intersects the plane vec(r) . (2 hati + hatj + hatk) + 3 = 0 . Is the point equidistant from the given points ?

NAVNEET PUBLICATION - MAHARASHTRA BOARD-PLANE -Example for Practice
  1. Find the vector equation of the plane passing through the point A(1, 0...

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  2. Find the vector equation of the plane passing through the point hati +...

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  3. Line barr = (hati - hatj + hatk) + lambda(2hati- hatj + hatk) containe...

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  4. Find the equations of the planes parallel to the plane x - 2y + 2z -4 ...

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  5. If from a point P(a ,b ,c) perpendiculars P Aa n dP B are drawn to Y Z...

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  6. Find the cartesian form of the equation of the plane. barr = (hati ...

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

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

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  9. Prove that the lines (x-2)/1=(y-4)/4=(z-6)/7 and (x+1)/3=(y+3)/5=(z+5)...

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  10. A variable plane which remains at a constant distance 3p from the orig...

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  11. Find the angle between the planes whose vector equations are barr ...

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  12. If the line barr = (hati - 2hatj + 3hatk) + lambda(2hati + hatj + 2hat...

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  13. The planes barr *(3hati - 2hatj + phatk) =1 and barr *(-2hati + phatj ...

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  14. Find the value of p, if the planes barr *(phati - hatj + 2hatk) + 3 = ...

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  15. Find the angle between the line barr = (hati + 2hatj + hatk) + lambda(...

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  16. Find the angle between the line (x+1)/2=y/3=(z-3)/6and the plane 10 ...

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  17. Find the distance of the point 2hati + hatj + hatk) from the plane bar...

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  18. Find the distance of the point (1, 2-1) from the plane x -2y + 4z - 10...

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

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

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