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Value of `lambda` do the planes `x-y+z+1=0, lambdax+3y+2z-3=0, 3x+lambday+z-2=0` form a triangular prism must be

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Prove that the planes x-z-1=0,x+y-2z-3=0 and x-2y+z-3=0 form a triangular prism.

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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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