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In triangle ABC, which of the following ...

In triangle ABC, which of the following is not true.
a)`oversetrarr(AB)+oversetrarr(BC) + oversetrarr(CA) =oversetrarr0` b)`oversetrarr(AB) +oversetrarr(BC) - oversetrarr(AC) =oversetrarr0` c) `oversetrarr(AB) + oversetrarr(BC) -oversetrarr(CA) = oversetrarr0` d)`oversetrarr(AB) - oversetrarr(CB) +oversetrarr(CA) =oversetrarr0`

A

`oversetrarr(AB)+oversetrarr(BC) + oversetrarr(CA) =oversetrarr0`

B

`oversetrarr(AB) +oversetrarr(BC) - oversetrarr(AC) =oversetrarr0`

C

`oversetrarr(AB) + oversetrarr(BC) -oversetrarr(CA) = oversetrarr0`

D

`oversetrarr(AB) - oversetrarr(CB) +oversetrarr(CA) =oversetrarr0`

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The correct Answer is:
C
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A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find the position vector of the mid point of the vector joining the po...

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  2. Show that the points A,B and C with position vectorsoversetrarra =3ove...

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  3. In triangle ABC, which of the following is not true. a)oversetrarr(...

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  4. If oversetrarra"and"oversetrarrbare two collinear vectors, then which ...

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  5. Show that the points A(-2overset^^i+3overset^^j +5overset^^k),B(over...

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  6. Find the projection of the vector oversetrarra =2overset^^i+overset^^j...

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  7. Find the angle between the vectors" " oversetrarra=overset^^i+over...

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  8. Find |oversetrarra-oversetrarrb| if two vectors" " oversetrarra" an...

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  9. If oversetrarra is a unit vector and (oversetrarrx-oversetrarra) .(ove...

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  10. Express 2overset^^i-overset^^j+3overset^^k as the sum of a vector para...

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  11. Consider the vectors oversetrarra=2overset^^i+3overset^^j+overset^^k "...

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  12. Consider the vectors oversetrarra=2overset^^i+3overset^^j+moverset^^k ...

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  13. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

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  14. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

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  15. Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j. Show that veca+vecb an...

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  16. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=...

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  17. Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overse...

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  18. Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset...

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  19. Consider the vectorsoversetrarra=2overset^^i-3overset^^j+overset^^k" ...

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  20. Suppose oversetrarra =a1overset^^i+a2overset^^j+a3overset^^k " ".Find...

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