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If bara,barb,barc " are unit vectors, th...

If `bara,barb,barc " are unit vectors, then " abs(bara-barb)^(2)+abs(barb-barc)^(2) +abs(barc-bara)^(2)` does not exceed

A

4

B

9

C

8

D

6

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B
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Find the maximum value of abs(bara-barb)^(2)+abs(barb-barc)^(2)+ abs(barc-bara)^(2) , subject to the condition that bara,barb,barc are unit vectors.

AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. If bara=4bari+5barj-bark, barb=bari-4barj+5bark, barc=3bari+barj-bark ...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. Find the cartesian equation of the plane through the point A (2,-1,-4)...

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  20. The cartesian equation of the plane passing through (1,1,1) and contai...

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