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Let veca vecb and vecc be pairwise mutua...

Let `veca vecb and vecc` be pairwise mutually perpendicular vectors, such that `|veca|=1, |vecb|=2, |vecc| = 2`, the find the length of ` veca +vecb + vecc`.

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`|veca+vecb+vecc|^(2)=(veca+vecb+vecc).(veca+vecb+vecc)`
`= |veca|^(2)+|vecb|^(2)+|vecc|^(2)+2veca.vecb + 2veca.vecb+2vecb.vecc+2vecc.veca`
`=1+4+4+0+0+0=9`
`Rightarrow |veca+vecb+vecc|=3`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
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  5. If the angle between unit vectors veca and vecb is 60^(@) . Then find ...

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  6. Let vecu=hai+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk. If hatn is...

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  7. A , B , C , D are any four points, prove that vec A B dot vec C D+ ...

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  10. Let vecA and vecB be two non-parallel unit vectors in a plane. If (alp...

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  11. If veca ,vecb, vec c are three vectors such that veca + 2 vecb + vecc ...

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  12. If veca and vecb are unit vectors, then find the greatest value of |ve...

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  13. Constant forces P1= hat i+ hat j+ hat k ,P2= hat i+2 hat j- hat ka n d...

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  14. Find |veca|and|vecb|, if (veca+vecb)*(veca-vecb)=8and|veca|=8|vecb|.

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  15. If A ,B ,C ,D are four distinct point in space such that A B is not...

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  16. If veca=2hati+ 3hatj-5hatk,vecb =m hati+nhatj +12 hatk and veca xx vec...

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  17. If |veca|=2, |vecb|=5 and |vecaxxvecb|=8 then find the value of veca.v...

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  18. If veca xx vecb = vecb xx vecc ne 0 where veca , vecb and vecc are co...

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  19. If veca = 2vecj+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + ve...

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  20. if the vectors vecc, veca = xhati +yhatj + zhatk and vecb = hatj are s...

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