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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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Find the vector equation of the Plane Passing through the intersection of the planes barr.(i+j+k)=6 and barr.(2i+3j+4k)=-5 and through the point (1,1,1).

Find the vector equation of the plane passing through the intersection of the palnes vecr.(2hati+2hatj-hat3k) = 7, vecr.(2hati+5hatj+3hatk) = 9 and through the point (2, 1, 3)

Find the equation of the plane passing through the line of intersection of the planes vecr .(hati+hatj+hatk)=1 and vecr.(2 hati+3 hatj-hatk)+4=0 and parallel to x -axis.

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

Find the vector equation of the line passing through (1,2,3) and perpendicular to the plane vecr.(hati+2hatj-5hatk)+9=0

Find the eqation of the plane passing through (a,b,c) and parallel to the plane vecr.(hati+hatj+hatk)=2

Find the equation of the plane which contains the line of intersection of the planes vecr .(hati+2 hatj+3 hatk)-4 =0 , vecr .(2 hati+hatj-hatk)+5=0 and which is perpendicular to the plane vecr .(5 hati+3 hatj-6 hatk)+8=0

Find the vector and cartesian equations of the plane that passes through the point (1, 0, -2) and normal to the plane is hati+hatj-hatk

A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Find the equation of the plane that contains the point (1, -1, 2) and ...

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  2. Suppose that a plane meets the co-ordinate axes at A, B, C such that t...

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

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  4. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

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  5. Consider a point P(-2, -1, -4) and the plane vecr.(3hati+4hatj+5hatk)=...

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  6. Consider the line (x-1)/2 = (y-2)/-3=(z+5)/4 and the plane 2x+4y-z=3. ...

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  7. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

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  8. Consider the line vecr = (hati+2hatj-hatk)+lambda(2hati+hatj+4hatk) an...

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  9. Determine the direction cosines of the normal to the plane and the dis...

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  10. Determine the direction cosines of the normal to the plane and the dis...

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  11. Determine the direction cosines of the normal to the plane and the dis...

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  12. Determine the direction cosines of the normal to the plane and the d...

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  13. Find the vector equation of a plane which is at a distance of 7 units ...

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  14. Find the cartesian equation fo the following planes. vecr.(hati+hatj-h...

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  15. Find the cartesian equation fo the following planes.vecr.(2hati+3hatj-...

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  16. Find the cartesian equation fo the following planes. vecr.[(s-2t)hati+...

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  17. Find the co-ordinates of the foot of the perpendicular drawn from th...

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  18. In the following cases, find the co-ordinates of the foot of the perpe...

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  19. Find the co-ordinates of the foot of the perpendicular drawn from th...

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  20. Find the co-ordinates of the foot of the perpendicular drawn from the ...

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