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The cartesian equation of a line is...

The cartesian equation of a line is ` 3x + 1 = 6 y - 2 = 1 -z`.
Find the vector equation of the line.

A

`(hati + hatj -hatk) + lambda(2hati + hatj - hatk)`

B

`(-hati + hatj + hatk)+ lambda(2hati + hatj - hatk)`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
  1. The cartesian equation of a line is (x - 6) /(2) = ( y + 4)/(7) = (z -...

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  2. The vector equation of a line (x+5)/3 = (y+4)/5 = (z+5)/6 is

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  3. The cartesian equation of a line is 3x + 1 = 6 y - 2 =...

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  4. The cartesian equation of a line is 3x - 1 = 6y + 2 = 1 - z . Find the...

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  5. The vector equation of the line passing through the point (-1, -1 ,2) ...

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  6. The vector form of the equation of the line 6x - 2 = 3y + 1 = 2z - 2 ...

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

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  8. The Cartesian equationof a line are 3x+1=6y=2=1-z. Find the direction ...

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  9. The Cartesian equationof a line are 3x+1=6y=2=1-z. Find the direction ...

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  10. The equation of line is 2x - 2 = 3y + 1 = 6z - 2 find its directi...

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  11. Direction cosines of the line (x+2)/(2)=(2y-5)/(3),z=-1 are

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  12. If(x-1)/l=(y-2)/m=(z+1)/n is the equation of the line through (1,2,-1)...

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  13. The straight line (x-3)/3=(y-2)/1=(z-1)/0 is Parallel to x-axis Parall...

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

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  15. The points with position vectors 5hati + 5hatk, -4hati + 3hatj - hatk ...

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  16. Find lamda, if the points (-1, 3 ,2),(-4, 2 ,-2)and(5, 5 ,lambda) are ...

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  17. If l(1), m(1), n(1), l(2), m(2), n(2) and l(3), m(3), n(3) are directi...

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  18. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

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  19. The line joining the points 6veca-4vecb+4vecc, -4vecc and the line joi...

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  20. Let veca=-hati-hatk,vecb =-hati + hatj and vecc = i + 2hatj + 3hatk be...

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