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The vector equation of the line 6x-3=3y+...

The vector equation of the line 6x-3=3y+4=2z-2 is

A

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

B

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

C

`vecr=(1/2hati-4/3hatj+hatk)+lambda(1/6 hati+1/3hatj+1/2hatk)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective
  1. If the staight line (x-1)/k=(y-2)/2=(z-3)/3 and (x-2)/3=(y-3)/k =(z-1)...

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  2. The equation of the line joining the points (-3,4,11) and (1,-2,7) is

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  3. The vector equation of the line 6x-3=3y+4=2z-2 is

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  4. The angle between the staight lines (x+1)/2=(y-2)/5=(z+3)/4 and (x-1)/...

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  5. If the lines (x-1)/(-3)=(y-2)/(2k) =(z-3)/2 and (x-1)/(3k) =(y-5)/1=(z...

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  6. A line makes angles alpha,beta,gamma with the coordinates axes . If al...

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  7. The angle between the lines x=1,y=2 and y=-1 ,z=0 is

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  8. The distance between the lines vecr=veca1+tvecb and vecr=veca2+svecb i...

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  9. The vector equation of a plane which is at a distance of 6/sqrt29 from...

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  10. The equation of a plane with intercepts 2,3,and 4 on the x,y and z axe...

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  11. The direction cosines of the normal to the plane 6x-2y-2z=1 are

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  12. The distance of the point (2,1,-1) from the plane x-2y+4z=9 is

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  13. If the plane 2x-y+z=0 is parallel to the line (2x-1)/2=(2-y)/2 =(z+1)/...

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  14. The equation of the plane passing through (2,3,4) and parallel to the ...

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  15. The vector equation of the plane through the point (2,1,-1) and parall...

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  16. The equation of the plane passing through (1,2,3) and parallel to 3x-2...

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  17. The staight line passing through the point (1,0,-2) and perpendicular ...

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  18. Equation of the line passing through hati+hatj-3hatk and perpendicular...

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

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  20. Distance between the parallel planes 2x+y+2z=8 and 4x+2y+4z+5=0 is

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