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The P.V.'s of A, B are bar(a), bar(b) re...

The P.V.'s of A, B are `bar(a), bar(b)` respectively. The P.V. of 'C' is `bar(a)/2+bar(b)/3` then 'C' lies

A

outside `DeltaOAB` but inside `angleOAB`

B

outside `DeltaOAB` but inside `angleAOB`

C

outside `DeltaOAB` but inside `angleOBA`

D

inside `DeltaOAB`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. If bar(a), bar(b) represent bar(AB), bar(BC) respectively of a regular...

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  2. When a right handed rectangular cartesian system oxyz is rotated about...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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