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If veca,vecb,vecc be unit vectors such t...

If `veca,vecb,vecc` be unit vectors such that `veca.vecb=veca.vecc=0` and the angle between `vecb` and `vecc` is `pi//6`. Prove that `veca=pm2(vecbxxvecc)`

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FULL MARKS-VECTOR ALGEBRA-I-ADDITIONAL PROBLEMS
  1. Prove that the points 2hati+3hatj+4hatk,3hati+4hatj+2hatk,4hati+2hatj+...

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  2. Examine whether the vectors hati+3hatj+hatk,2hati-hatj-hatk and 7hatj+...

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  3. Find lamda so that the vectors 2hati+lamdahatj+hatk and hati-2hatj+hat...

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  4. If |veca+vecb|=60,|veca-vecb|=40" ""and"" " |vecb|=46,"then" |veca|is

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  5. If the sum of two unit vectors is a unit vector prove that the magnitu...

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  6. Show that the vectors 3hati-2hatj+hatk,hati-3hatj+5hatk and 2hati+hatj...

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  7. Find the projection of : (i) hati-hatj on Z-axis (ii) hati+2hatj-2ha...

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  8. Show that the vector hati+hatj+hatk is equally inclined with the coord...

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  9. If veca,vecb,vecc are three mutually perpendicular unit vectors, then ...

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  10. Show that the points whose positions vectors 4hati-3hatj+hatk,2hati-4h...

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  11. Let vec(u),vec(v),vec(w)" be vectors such that "vec(u)+vec(v)+vec(w)=v...

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  12. If vecp=-3veci+4vecj-7veck ans vecq=6veci+2vecj-3veck then find vecpxx...

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  13. If veca.vecb are say two vectors, then prove that abs(vecaxxvecb)^(2)+...

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  14. Find the angle between the vectors 2hati+hatj-hatk and hati+2hatj+hatk...

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  15. Find the vectors of magnitude 6 which are perpendicular to both the ve...

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  16. Find the vectors whose length 5 and which are perpendicular to the vec...

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  17. If vecaxxvecb=veccxxvecd and vecaxxvecc=vecbxxvecd show that veca-vecd...

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  18. Find the angle between two vectors veca nd vecb if abs(vecaxxvecb)=vec...

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  19. If veca,vecb,vecc be unit vectors such that veca.vecb=veca.vecc=0 and ...

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  20. If |veca|=2, |vecb|=7 and vecaxxvecb=3hati-2hatj+6hatk find the angle ...

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