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The vector equation of the straight line...

The vector equation of the straight line `(1-x)/3 =(y+1)/(-2) =(3-z)/(-1)` is

A

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

B

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

C

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

D

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

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The correct Answer is:
A
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NEW JOYTHI PUBLICATION-THREE DIMENSIONAL GEOMETRY-Objective
  1. If the direction cosines of a line are k,k,k , then

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  2. The direction cosines of a straight line, whose projections on the coo...

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  3. The vector equation of the straight line (1-x)/3 =(y+1)/(-2) =(3-z)/(-...

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  4. The line (x-x1)/0=(y-y1)/1=(z-z1)/2 is

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

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  6. The two lines x=ay+b, z=cy+d and x=a'y+b', z=c'y+d will be perpendicul...

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  7. If the vector equation of a line (x-2)/2=(2y-5)/(-3) =z+1 is vecr=2hat...

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

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

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

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

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

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

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

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

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

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

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

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

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