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When a right handed rectangular cartesia...

When a right handed rectangular cartesian system oxyz is rotated about the z-axis through an angle `pi/4` in the counter clockwise direction. It is found that a vector `bar(a)` has the components `2sqrt(2), 3sqrt(2), 4`. The components of `bar(a)` in the oxyz coordinate system are

A

1, -5, 4

B

`-1, 5, 4`

C

`1, 5, -4`

D

`-1, -5, 4`

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The correct Answer is:
B
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AAKASH SERIES-PROPERTIES OF VECTORS-PRACTICE EXERCISES
  1. Let bar(a), bar(b), bar(c), bar(d) be the position vectors of A, B, C ...

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  2. If bar(a), bar(b) represent bar(AB), bar(BC) respectively of a regular...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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