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If veca.veci=veca.(hati+hatj)=veca.(hati...

If `veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk)` . Then find the unit vector `veca`.

A

`vec0`

B

`hati`

C

`hatj`

D

`hati+hatj+hatk`

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AAKASH INSTITUTE-VECTOR ALGEBRA-ASSIGNMENT (SECTION-A)
  1. |(vecaxxvecb)|^(2) is eqaul to

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  2. If veca and vecb are unit vectors, then which of the following values ...

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  3. If veca.veci=veca.(hati+hatj)=veca.(hati+hatj+hatk) . Then find the un...

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  4. If veca +vecb +vecc =vec0, |veca| =3 , |vecb|=5 and |vecc| =7 , then ...

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  5. The vector cosalpha.cosbetahati+cosalpha.sinbetahatj+sinalphahatk is a...

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  6. If |veca|=|vecb|, then (veca+vecb).(veca-vecb) is equal to

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  7. If veca and vecb are unit vectors inclined at an angle theta, then the...

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  8. The projection of the vector hati+hatj+hatk along the vector of hatj i...

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  9. If OACB is a parallelogram with vecOC=veca and vecAB=vecb, then vecOA ...

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  10. If veca, vecb, vecc, vecd are the position vectors of points A, B, C a...

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  11. If the vectors 3hati+lambdahatj+hatk and 2hati-hatj+8hatk are perpendi...

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  12. The vectors 2hati+hatj-4hatk and ahati+bhatj+chatk are perpendicular, ...

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  13. Let veca , vecb , vecc be three unit vectors such that |veca + vecb +...

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  14. If theta is the angle between the vectors 2hati-2hatj+4hatk and 3hati+...

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  15. If veca=2hati-3hatj-hatk and vecb=hati+4hatj-2hatk, then vecaxxvecb is

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  16. If veca,vecb represent the diagonals of a rhombus, then

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  17. If vecu=veca-vecb, vecv=veca+vecb and |veca|=|vecb|=2, then |vecuxxvec...

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  18. If vecp=2veca-3vecb, vecq=veca-2b+vecc, vecr=-3veca+vecb+2vecc, veca,v...

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  19. A vector vecc of magnitude sqrt(7) which is perpendicular to the vecto...

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  20. If veca=hati+hatj,vecb=hati-hatj, then veca.vecb=

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