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Suppose that a plane meets the co-ordina...

Suppose that a plane meets the co-ordinate axes at A, B, C such that the centroid of `triangleABC` is (3, 3, 3). If the intercepts made by the plane with the axes be a, b, c respectively, find the co-ordinates of A, B, C. Hence find the equation of the plane.

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A N EXCEL PUBLICATION-THREE DIMENSTIONAL GEOMETRY-QUESTION BANK
  1. Consider the points A(2, 2, 1) and B(9, 3, 6) and the plane 2x+6y+6z-1...

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  2. Find the equation of the plane that contains the point (1, -1, 2) and ...

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

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

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

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

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

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

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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 dis...

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

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

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

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

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

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

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

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

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