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Find the vector equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z-5=0.

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Find the equations of the line passing through the point (1,-1,2) and perpendicular to the plane 2x-y+3z=5.

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Find the vector equation of the line passing through the point (1,2,-4) and perpendicular to the lines (x-8)/(3)=(y+19)/(-16)=(z-15)/(3) and (x-15)/(3)=(y-29)/(8)=(z-5)/(-5)

Find the equation of the plane passing through the point ( 1, -1 , 2) and perpendicular to the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8.

Find the equations of the line passing through the point (-4,3,1) perpendicular to the plane x+2y-z=0 .

Find the equation of the plane passing through the point (-1, 2, 3) and perpendicular to the planes x - 2y + z = 3 and 4x + 3y - z = 5.

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Find the vector and cartesian equation of the line passing through the point (2,1,3) and perpendicular to the lines. (x-1)/(1)=(y-2)/(2)=(z-3)/(3) and (x)/(-2)=(y)/(2)=(z)/(5)

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Find the equation of the plane through (1,5,-2) and parallel to the pl...

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  2. The position vectors of two points A and B are 3 hati+hatj+2hatk and h...

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  3. Find the vector equations of the line passing through the point (1,-1,...

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  4. Find the vector equation of the line through the origin, which is perp...

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  5. The vector equation of a plane is vecr.(2hati+2hatj-hatk)=21, find the...

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  6. Find the vector equation of a plane which is at a distance of 5 units ...

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  7. Find the vector equation of a line passing through the point with posi...

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  8. The foot of perpendicular drawn from the origin to a plane is (12,-4,-...

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  9. The foot of perpendicular drawn from the origin to a plane is (2,5,7)....

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  10. O is the origin and A is (a,b,c). Find the d.c. of OA and the equation...

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  11. Find the equation of the plane whose intercepts on the axes are 3,4,5 ...

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  12. Find the equation of the plane passing through the point (2,4,6) and m...

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  13. A variable plane moves so that the sum of reciprocals of its intercept...

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  14. A plane meets the coordinates axes in A, B and C such that the centroi...

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  15. Find the intercepts made by the plane 2x-3y+5z+4=0 on the co-ordinate ...

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  16. Change to normal form the plane 2x-3y+6z+4=0

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  17. Find the vector equation of the following planes in scalar product for...

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  18. Find the shortest distance between the following lines whose vector eq...

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  19. Find the vector equation of the following plane in scalar product form...

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  20. Find the equation satisfied by the coordinates of a variable point P(x...

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