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The vector equation to the line through ...

The vector equation to the line through the point (2, 3, 1) and parallel to the vector (4, -2, 3)

A

`bar(r)=(4bar(i)-2bar(j)+3bar(k))+t(2bar(i)+3bar(j)+bar(k))`

B

`bar(r)=(2bar(i)+3bar(j)+bar(k))+t(2bar(i)-5bar(j)+2bar(k))`

C

`bar(r)=(2bar(i)+3bar(j)+bar(k))+t(4bar(i)-2bar(j)+3bar(k))`

D

`bar(r)=(4bar(i)-2bar(j)+3bar(k))+t(6bar(i)+bar(j)+4bar(k))`

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  2. The P.V.'s of A, B are bar(a), bar(b) respectively. The P.V. of 'C' is...

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  3. The vector equation to the line through the point (2, 3, 1) and parall...

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  4. Find the vector equation of the line passing through the points 2bar(i...

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  5. Cartesian equation of the line passing through the points bar(a)=2bar(...

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  6. The cartesian equation of the line passing through the points bar(a)=(...

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  7. Find the vector equation of the line passing through the points bar(i)...

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  8. The vector equation of the plane passing through the point 2bar(i)+2ba...

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  9. The vector equation of the plane passing through the origin and the po...

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  10. If 2bar(i)-bar(j)+bar(k), bar(i)-3bar(j)-5bar(k), 3bar(i)-4bar(j)-4bar...

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  11. The vector equation of the line passing through the point 2bar(i)+bar(...

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  12. If A(bar(i)+2bar(j)+3bar(k)), B(-bar(i)-bar(j)+8bar(k)), C(-4bar(i)+4b...

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  13. A point on the line bar(r)=(1-t)(2bar(i)+3bar(j)+4bar(k))+t(3bar(i)-...

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  14. The point of intersection of the lines bar(r)=bar(a)+t(bar(b)+bar(c)),...

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  15. The point P on the line passing through A(3bar(i)+2bar(j)-3bar(k)) and...

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  16. The point of intersection of the plane bar(r)=(bar(a)-bar(b))+s(bar(a)...

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  17. If 'O' is circumcente and 'H' is orthocentre of DeltaABC, then {:("L...

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  18. The vector bar(i)+xbar(j)+3bar(k) is rotated through angle theta and d...

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  19. bar(a), bar(b), bar(c) are three vectors of which every pair is non-co...

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  20. Consider the points A, B, C and D with P.V.'s 7bar(i)-4bar(j)+7bar(k),...

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