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If `overset(-)a, overset(-)b, overset(-)c` are unit vectos such that `overset(-)a+overset(-)b+overset(-)c=overset(-)0` then the `overset(-)a.overset(-)b+overset(-)b.overset(-)c+overset(-)c.overset(-)a=`

A

`3/2`

B

`-3/2`

C

`1/2`

D

`-1/2`

Text Solution

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The correct Answer is:
B
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SIA PUBLICATION-ADDITION OF VECTORS AND PRODUCT OF VECTORS-Problems
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  2. If m(1),m(2), m(3), m(4) are respetively the magnitudes of the vectors...

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  3. If overset(-)a, overset(-)b, overset(-)c are unit vectos such that ove...

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  4. If overset(-)a=2overset(-)i+overset(-)k, overset(-)b=overset(-)i+overs...

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  5. If overset(-)a, overset(-)b, overset(-)c are three vectors such that |...

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  7. The Cerrtesian equation of the plane passing through the point (3,-2,-...

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  8. The shortest distance between the skew lines overset(-)r=(hati+2hatj...

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  9. If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = x...

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  11. The angle beween the lines hatr=(2hati-3hatj+hatk)+lambda (hati+4hatj+...

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  12. If a, b and c are non-coplanar vectors and if d is such that d = (1)/(...

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  13. Three non-zero non-collinear vectors a, b, c are such that a + 3b is c...

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  14. The points whose position vectors are 2i + 3j + 4k, 3i + 4j + 2k and 4...

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  15. P,Q,R and four point with the position vectors 3i-4j+5k, -4i+5j+k and ...

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  16. If veca ne vec0, vecb ne vec0, vecc ne vec0, veca xx vecb =vec0 and ve...

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  17. The shortest distance between the lines r=3i+5j+7k +lambda (i+2j+k) an...

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  18. A unit vector coplanar with i+j+3k and i+3j+k and perpendicular to i+j...

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  19. If veca and vec(to)b are two non-zero perpendicular vectors, then a ve...

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  20. vec(to)a=i+j-2h rArr sum {( a xx i) xx j}^(2) is equal to

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