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The cartesian equation of a line passing...

The cartesian equation of a line passing through the point having position vector `2hati +hatj - hatk` and parallel to the line passing joining the points `-hati + hatj + 4hatk` and `hati + 2hatj + 2hatk`, is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C
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NIKITA PUBLICATION-LINE-MULTIPLE CHOICE QUESTIONS
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  2. The vector equation of a line passing through the point with position ...

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  3. The cartesian equation of a line passing through the point having posi...

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  4. The vector equation of the line passing through a point with position ...

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  5. The vector equation of a line passing through the point (5,4,3) and ha...

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  6. The equation of a line passing through the point (4,-2,5) and parallel...

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  7. The cartesian equation of a line passing through the point (3,2,1) and...

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  8. The cartesian form of equation of a line passing through the point wi...

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  9. Find the equation of the line in Cartesiasn form that passes through t...

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  10. The cartesian equation of a line passing through the point having posi...

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  11. The symmetric form of the line given by vecr =(2hati -hatj + 3hatk) ...

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  12. The cartesian equation of line passing through the points (5,4,3) and ...

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  13. Find the equation of line equally inclined to co-ordinate axes and pas...

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  14. The vector equations of a line passing through the origin and the poin...

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  15. Find the vector wuation of the line passing through the points A(3,4, ...

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  16. the line passing through the points (3, -2--5), and (3, -2,6)

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  17. The vector equation of a line passing through the points (-2,3,4) and ...

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  18. The vector equation of a line passing through the points A(4,2,1) and ...

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  19. A line passing through the points A (-2 , -1 , 5) and B ( 1, 3 , -1) ,...

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  20. The cartesian equation of a line passing through the origin and point ...

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