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Vector equation of the line (x+1)/(2)=(y...

Vector equation of the line `(x+1)/(2)=(y-4)/(4)=(z+6)/(3)`

A

`vecr=(hati-4hatj+6hatk)+lambda(2hati+4hatj+3hatk)`

B

`vecr=(-hati+4hatj+6hatk)+lambda(2hati+4hatj+3hatk)`

C

`vecr=(2hati-4hatj+3hatk)+lambda(hati-4hatj+6hatk)`

D

`vecr=(2hati+4hatj+3hatk)+lambda(-hati+4hatj-6hatk)`

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MODERN PUBLICATION-Three Dimensional Geometry-EXERCISE
  1. The direction cosines of the line joining the points (-2, 4, -5) and (...

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  2. Distance between plane defined by 3x + 4y + 5 = 0 and the point (5, 0,...

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  3. Vector equation of the line (x+1)/(2)=(y-4)/(4)=(z+6)/(3)

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  4. The value of lambda for which the plane vecr*(2hati-2hatj+4hatk)=5 is ...

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  5. Direction casines of z-axis are

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  6. If a line has direction ratios <2,-1,-2>, then what are its direction ...

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  7. A line makes angles 45^@ and 60^@ with the positive direction of the a...

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  8. Equation of line passing through the point (2,3,1) and parallel to the...

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  9. If the direction cosines of a vector of magnitude 3 are <2/3, -a/3, 2/...

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  10. Equation of line passing through the point (2,3,1) and parallel to the...

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  11. A unit vector parallel to the straight line: (x-2)/3=(3+y)/-1=(z-2)/-4...

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  12. The angle between a normal to the plane : 2x-y+2z-1=0 and the z axis i...

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  13. Find the coordinates of the Foot of the perpendicular drawn from the ...

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  14. The distance between the x axis and the point (3,12,5) is :

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  15. The shortest distance of the point (a,b,c) from the x-axis is

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  16. Equation of the plane perpendicular to the line x/1=y/2=z/3 and passin...

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  17. The line (x-2)/3=(y-3)/4=(z-4)/5 is parallel to the plane:

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  18. Prove that the angle between any two diagonals of a cube is cos^-1frac...

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  19. The line passing through the points (5, 1, a) and (3, b, 1) crosses th...

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  20. If the straight lines : (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k=(z...

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