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P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2...

`P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1),` then find the projection length of ` vec P Qon vec R Sdot`

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`vec( PQ)=vec(OQ)-vec(OP)=hati -2hatk`
`vec(RS)=vec(OS)-vec(OR)=4hati - 4hatj-hatk`
Projection of `vec(PQ) on vec(RS)= (vec(QP)vec(RS))/(|vec(RS)|) = 6/sqrt33`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Let vecu=hai+hatj,vecv=hati-hatj and vecw=hati+2hatj+3hatk. If hatn is...

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

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  3. P(1,0,-1), Q(2,0,-3),R(-1,2,0)a n dS(,-2,-1), then find the projection...

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  4. If the vectors 3 vec p+ vec q ;5p-3 vec qa n d2 vec p+ vec q ;3 vec p-...

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

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

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

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

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

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

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

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

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

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

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

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  16. given that veca. vecb = veca.vecc, veca xx vecb= veca xx vecc and veca...

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  17. Show that (veca-vecb)xx(veca+vecb)=2(vecaxxvecb)

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  18. If vec x and vecy are unit vectors and |vecz| = 2/sqrt7 such that vecz...

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  19. prove that (veca.hati)(vecaxxhati)+(veca.hatj)(vecaxxhatj)+(veca.hatk)...

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  20. If vec a, vec b, vec c are unit vectors such that vec a+ vec b+ vec c ...

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