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Let the equation of a plane be barr.(2h...

Let the equation of a plane be `barr.(2hati-3hatj+5hatk)=7`, then find the Cartesian equation of the plane.

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Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7 , then find the equation of a plane passing through the point (3,4,-1) and parallel to the given plane .

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 (i) Write the cartesian equation of the plane.

Let the vector equation of a plane be vecr.(2hati+4hatj+3hatk)=12 . Find the distance from the point (2,1,3) to the plane

Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=10. Write the cartesian equation of the given plane. Hence, find the perpendicular distance of P from the plane.

Consider the vector equation of two planes barr.(2i+j+k)=3,barr.(i-j-k)=4 Find vector equation of the plane through the intersection of the above planes and the point (1,2,-1).

Consider the plane passing through (2, 3, 5) and perpendiular to the vector 4hati+2hatj-3hatk Find the cartesian equation of the plane

Consider the vector equation of two planes barr.(2i+j+k)=3,barr(i-j-k)=4 Find vector equation of any plane through the intersection of the above two planes.

If the Cartesian equation of a plane is x+y+z=12 , then the vector equation of the plane is.... a) barr.(2i+j+k)=12 b) barr.(i+j+k)=12 c) barr.(i+j+2k)=12 d) barr.(i+3j+k)=12

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

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MAXIMUM PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXAMPLE
  1. Consider the points P(1,3,4) &Q(-3,5,2) .Find the equation of the line...

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  2. Consider the points (1,3,4) &(-3,5,2). At which point that the above l...

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  3. Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7, then find ...

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  4. Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7, then find ...

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  5. Let the equation of a plane be barr.(2hati-3hatj+5hatk)=7, then find ...

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  6. State the condition of the line barr=bara+lambdabarb is parallel to th...

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  7. Show that the line barr=i+j+lambda(2i+j+4k) is parallel to the plane b...

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  8. Find the distance between the line barr=i+j+lambda(2i+j+4k) and the pl...

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  9. If a line in the space makes angle alpha,beta and gamma with the coord...

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  10. The direction ratios of the line (x-6)/1=(2-y)/2=(z-2)/2are a)6,-2,-2 ...

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  11. If the vector equation of a line is barr=i+j+k+mu(2i-3j-4k) , then t...

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  12. If the Cartesian equation of a plane is x+y+z=12 , then the vector equ...

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  13. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

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  14. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

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  15. Consider the lines barr=(i+2j-2k)+lambda(i+2j) and barr=(i+2j-2k)+mu...

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  16. Consider the line barr=(2i-j+k)+lambda(i+2j+3k). Find the Cartesian eq...

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  17. Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Find the vector equa...

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  18. Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Write two points on ...

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  19. Find the equation of the plane through the point (1,2,3) and perpendic...

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  20. Find the distance between the planes x-2y+2z-8=0 and 6y-3x-6z=57

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