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True or false The line x=y=z lies in the...

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

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Does the line x=y=0 lie in the plane z=0.

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Equation of line passing through the point (2,3,1) and parallel to the line of intersection of the planes: x-2y-z+5=0 and x+y+3z=6 is:

The equation of the line passing through (1, 1, 1) and perpendicular to the line of intersection of the planes x+2y-4z=0 and 2x-y+2z=0 is

Find the equation of the through to the line of intersection of the planes 3x-4y+5z=10 and 2x+2y-3z=4 and parallel to the lines x=2y=3z .

Find the equation of the plane through the line of intersection of the planes: x+3y-z+1=0 and x+y-2z+3=0 and perpendicular to the plane 3x-y-2z-4=0

Find the projection of the line (x-1)/2=(y+1)/-1=(z-3)/4 in the plane x+2y+z-9=0 .

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PRADEEP PUBLICATION-THREE DIMENSIONAL GEOMETRY-EXERCISE
  1. The points (1, 2, 3), (-2, 3, 4) and (7,0,1) are collinear.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  16. Direction cosines of x-axis are

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

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  18. Distance of the point (alpha, beta,gamma) from y-axis is

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  19. The distance of a point P(a,b,c) from x axis is:

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  20. If the direction cosine of a line are < k,k,k >, then,

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