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If the veactors veca, vecb and vecc form...

If the veactors `veca, vecb and vecc` form the sides BC,CA and AB respectively of triangle ABC, then :

A

`veca.vecb + vecb.vecc+ vecc.veca=0`

B

`veca xx vecb=vecb xx vecc = vecc xx veca`

C

`veca.vecb=vecb.vecc=vecc.veca`

D

`vecaxxvecb + vecb xx vecb xx vecc xx veca =vec0.`

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The correct Answer is:
B
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MODERN PUBLICATION-VECTOR ALGEBRA -Multiple Choice Question (Level-II)
  1. The position vectors of the points A and B are veca and vecb respectiv...

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  2. If the non-zero vectors veca and vecb are perpendicular to each other,...

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  3. If the veactors veca, vecb and vecc form the sides BC,CA and AB respec...

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  4. If veca, vecb and vecc are unit coplanar vectors, then the scalar trip...

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  5. If veca = hati + hatj - hatk, vecb =- hati + 2 hatj + 2 hatk and vec c...

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  6. If veca,vecb,vecc are unit vectors, then : |veca -vecb|^(2)+|vecb -v...

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  7. If veca = ahti - ahtk, vecb = x hati + hatj + (1-x) hatk and vecc = y ...

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  8. Given two vectors hati + hatj and hati +2 hatj, the unit vector coplan...

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  9. If veca = 3 hati - 5 hatj and vecb = 6 hati + 3 hatj are two vectors ...

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  10. Let vecv = 2hati + 2hatj - hatk and vecw = hati + 3hatk. If vecu is a ...

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  11. If veca and vecb are two unit vectors such that veca + 2 vecb and 5 v...

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  12. If vecu, vecv and vecw are three non-coplanar vectors, then : (vecu ...

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  13. Let vecu = hati+ hatj, vecv = hati - hatj and vecw= hati + 2 hatj + 3 ...

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  14. Let veca, vecb and vecc be three non-zero vectors such that no two of ...

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  15. Let veca, vecb, and vecc be three non-zero vectors such that no two of...

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  16. If veca = (hati +hat j + hatk), veca.vecb=1 and veca xx vecb=hatj-hatk...

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  17. If veca, vecb, cecc are non-coplanar vectors and lamda is a real numbe...

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  18. If hatu and hatv are unit vactors and theta is the angle between them,...

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  19. Let veca = hat i + hatj + hatk, vecb = hati + 2 hatk and vecc = x hati...

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  20. The vector veca = alpha hati + 2 hatj + beta hatk lies in the plance o...

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