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True or false The points (a,0,0),(0,b,0)...

True or false
The points (a,0,0),(0,b,0) and (0,0,c) are collinear `(abc ne 0)`.

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. Fill ups The image of the poidnt (1,-2,3) in the plane x-2y+3z-14=0 is...

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  2. Fill ups The image of the poidnt (1,-2,3) in the plane x-2y+3z-14=0 is...

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  3. True or false The points (a,0,0),(0,b,0) and (0,0,c) are collinear (ab...

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  4. The points (1, 2, 3), (-2, 3, 4) and (7,0,1) are collinear.

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  5. The unit vector normal to the plane x+2y+3z-6=0 is (1)/(sqrt14)hati+(2...

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  6. True or false The line x=y=z lies in the plane x-2y+z-1=0.

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  7. True or false The line vecr=2hati-3hatj+hatk+t(hati-hatj+2hatk) lies i...

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  8. True or false The projection of the point (alpha,beta,gamma) on the XO...

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  9. The intercepts made by the plane 2 x – 3 y + 5z+4 = 0 on the co-ordina...

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  10. True or false The projection of the point (alpha,beta,gamma) on the z-...

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  11. True or false The vector equation of the line (x-5)/3=(y+4)/7=(z-6)/2 ...

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  12. The acute angle between the planes vecr.(2hati-3hatj+hatk)=1 and vecr....

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  13. If ltl,m,n,gtare D. cosines of a line then l^(2)+m^(2)+n^(2)=

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  14. The angle between the lines vecr=(5hati-hatj-4hatk)+lambda(2hati-hatj+...

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  15. True or false The distance of the point (-2,4,-5) from the line (x+3)/...

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  16. Find equation of a plane passing through the points (2,1,0),(3,-2,-2) ...

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  17. The equation of a line, which is parallel to 2hati+hatj+3hatk and whic...

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  18. True or false If the foot of perpendicular drawn from the origin to a ...

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  19. Direction cosines of x-axis are

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  20. Direction cosines of any normal to xy-plane are

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