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If bara=4bari+5barj-bark, barb=bari-4bar...

If `bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark` such that `barpbotbara,barpbotbarb` and `barp.barc`=21 , then ` barp`=

A

`6(bari+barj+bark)`

B

`7(bari+barj+bark)`

C

`6(bari-barj-bark)`

D

`7(bari-barj-bark)`

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The correct Answer is:
D
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. The vector bara,barb,barc are equal in length and pair wise make equal...

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  2. Find unit vector orthogonal to the vector 3bari + 2barj + 6bark and co...

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  3. If bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark ...

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  4. If barp=(3,-1,5), barq = (1,2,-3). A vector barr is such that it is ...

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  5. If bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(ba...

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  6. If kbara = 3barb+2barc, bara=-2barb+5barc " and if " barb and barc hav...

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  7. bara,barb,barc and bard are the position vectors of four coplanar poin...

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  8. In a Delta ABC, bar(OA)= bara, bar(OB)=barb, bar(OC) = barc. if (bar...

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  9. ABC is an equitateral triangle of side 'a'. Then bar(AB).bar(BC)+bar...

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  10. In Delta ABC , angleABC=90^(@). If P and Q are points of trisection o...

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  11. A parallogram constructed on the vector bar(a) =3barp-barq and bar(b)...

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  12. The length of the projection of the vector (1,-2,-1) on the vector joi...

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  13. The magnitude of the projection of the vector bara=4bari-3barj+2bark o...

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  14. If barb=4bari+3barj and barc be two perpendicular vectors in xy-plane....

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  15. Let bara = 2bari -barj+bark , barb=bari+2barj-bark , barc=bari+barj-2b...

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  16. The triangle ABC is defined by the vertices A =(0,7,10), B = (-1,6,6) ...

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  17. In the Parallelogram ABCD, bar(AC)^(2)-bar(BD)^(2) =

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  18. The bot r bisecting plane of the line segment joining the points (3,1,...

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  19. The vector equation of the plane which contains the point (1,1,8) and ...

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  20. The perpendicular distance from origin to the plane passing through th...

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