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ABC is an equitateral triangle of side...

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

A

`-a^(2)/2`

B

`-a^(2)`

C

-`(3a^(2))/2`

D

`-2a^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-DOT PRODUCT OF TWO VECTORS-EXERCISE - II
  1. bara,barb,barc and bard are the position vectors of four coplanar poin...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. The vector equation of the plane through the point (1,1,-1) and passin...

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  18. Let A = (bari-barj+3bark), B=(3bari+3barj+3bark) " be two points and "...

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  19. Angle between the line barr = (-bari+3barj+3bark)+t(2bari+3barj+6bark)...

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  20. If 3bari+4barj+5bark is P.V. of one end of a diameter of the sphere a...

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