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State the condition of the line barr=bar...

State the condition of the line `barr=bara+lambdabarb` is parallel to the plane `barr.barn=d` .

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Show that the line barr=i+j+lambda(2i+j+4k) is parallel to the plane barr.(-2i+k)=5 .

Find the distance between the line barr=i+j+lambda(2i+j+4k) and the plane barr.(-2i+k)=5 .

Find the vector equation of the line passing through (1,2,3) and parallel to the planes vecr .(hati-hatj+2 hatk)=5 and vecr .(3 hati+hatj+hatk)=6

Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Find the vector equation of the line passing through A (1,0,2) and parallel to the line.

Consider a straight line through a fixed point with position vectors 2i-2j+3k and parallel to i-j+4k . Show that the straight line is parallel to the plane barr.(i+5j+k)=5

Consider the line barr=(2i-j+k)+lambda(i+2j+3k) Write two points on the line obtained from vector equation of the line passing through A (1,0,2) and parallel to the line which are equidistant from A.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  18. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 Find...

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  19. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 F...

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  20. Consider the Cartesian equation of line (x-3)/2=(y+1)/3=(z-5)/-2 F...

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