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The cartesian equation of a line is (x-3...

The cartesian equation of a line is `(x-3)/(2)=(y+1)/(-2)=(z-3)/(5).` Find the vector equation of the line.

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MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
  1. A variable plane is at a constant distance p from the origin and meets...

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  2. Show that the origin lies in the acute angles between the planes x + 2...

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  3. The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...

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  4. If the lines x=ay +b, z=cy+d and x=a'y + b', z=c'y + d' are perpendi...

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  5. Find the coordinates of the foot of the perpendicular drawn from po...

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  6. Find the shortest distance between the lines vecr=(hatii+2hatj+hatk)+l...

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  7. Show that the disease of the point of intersection of the line (x-2)/3...

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

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  9. The equation of straight line 3x + 2y - 2-4 = 0 ; 4x+y-2z + 3 = 0 in ...

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  10. Find the equation of the plane through the intersection of the planes ...

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  11. Find the equation of a plane passing through the line (x-1)/1=(y-2)/1=...

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  12. Prove that the lines 3x + 2y + z – 5 = 0 = x + y – 2z – 3 and 2x – y –...

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  13. Find the equation of the plane which contains the two parallel lines ...

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  14. Find the distance of the point P(3,8,2) from the line 1/2(x-1)=1/4(...

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  15. Find the intersection of the line joining the points (1, –2,–1) and (2...

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  16. Equation of line of projection of the line 3x-y+2z-1=0=x+2y-z-2 on the...

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  17. Find the equation of the projection of the line (x-1)/2=(y+1)/(-1)=...

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  18. Find the foot and hence the lengh of perpendicular form (5,7,3) to the...

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  19. Show that the planes 2x – 3y – 7z = 0, 3x – 14y – 13z = 0, 8x – 31y – ...

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  20. Value of lambda do the planes x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday...

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