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Find the Cartesian equation of the following plane: `vecr cdot (hati+hatj-hatk) = 2`

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Find the cartesian equations of the following planes: vecr*(3hati+3hatj-2hatk)=3

Find the cartesian equations of the following planes: vecr*(2hati+3hatj-4hatk)=1

Find the cartesian equation of the following planes. vecr.(2hati+hatj-4hatk)=1 .

Find the cartesian equation of the following planes: vecr.(hati+hatj+hatk)=2

Find the cartesian equation of the following planes. vecr.(hati+hatj-hatk)=2

Find the Cartesian equation of the following plane: vecr cdot [(s-2t)hati + (3-t)hatj + (2s+t)hatk] = 15

Find cartesian equations of the plane containing the lines: vecr=2hati+hatj-3hatk+lambda(hati+2hatj+5hatk) and vecr=3hati+3hatj-7hatk+mu(3hati-2hatj+5hatk)

ACCURATE PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTIONS CARRYING 1 MARK (TYPE-II: FILL IN THE BLANKS QUESTIONS)
  1. The direction cosines of the line joining the points (-2, 4, -5) and (...

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  2. The direction cosines of the line joining the points (-1, -1, -1) and ...

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  3. The point which lies in the plane given by the equation 5x + y - z = 7...

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  4. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  5. The distance of the point (3, 2, 7) from ZX- plane is equal to :

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  6. The distance of the plane 2x-3y-6z+14=0 from point (3, 2, 0) is :

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  7. Find the distance of the plane 2x-3y+4z-6=0 from the origin.

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  8. Distance between plane defined by 3x + 4z + 15 = 0 and the point (5, 7...

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  9. Distance between the point (10, 0 , 1) and the plane 3y + 4z + 1 = 0 i...

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  10. Direction-ratios of line given by x-1/3=y+6/10=1-z/7 are

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  11. The distance between the planes, 3x + 2y - 6z - 18 =0 and 3x+2y-6z+10...

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  12. Distance between the two planes: 2x+3y+4z=4 and 4x+6y+8z = 12 is:

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  13. If a line makes angle 90^(@),135^(@),45^(@) with X,Y and Z-axis respec...

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  14. If cos alpha , cos beta, cos gamma are the direction-cosines of a line...

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  15. If a line makes an angle of (pi)/(4) each of y and z axis, then the an...

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  16. A plane passes through the points (2, 0, 0) (0, 3, 0) and (0, 0, 4). T...

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  17. The direction cosines of the vector (2hati+2hatj-hatk) are …………….. .

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  18. The vector equation of the line (x-5)/(3)=(y+4)/(7)=(z-6)/(2) is ........

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  19. The vector equation of the line through the points (3, 4, - 7) and (1,...

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  20. Find the Cartesian equation of the following plane: vecr cdot (hati+ha...

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