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Find the intersection of the line joinin...

Find the intersection of the line joining the points (1, –2,–1) and (2, 3, 1) with the plane through the points (2, 1, –3), (4, –1, 2) and (3, 0, 1).

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MOTION-THREE DIMENSIONAL GEOMETRY (3 -D)-SOLVED EXAMPLE
  1. The cartesian equation of a line is (x-3)/(2)=(y+1)/(-2)=(z-3)/(5). Fi...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  20. The shortest distance between line (x-3)/(3)=(y-8)/(-1)=(z-3)/(1) and ...

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