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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 Bdot 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 3vecP+vecq, 5vecP - 3vecq and 2 vecp+ vecq, 4 vecp - 2v...

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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. Let veca , vecb and vecc be unit vectors such that veca+vecb+vecc=vecx...

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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 P(1)=hati-hatj+hatk, P(2)= -hati+2hatj-hatik and P(3)=...

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  9. Find |veca| and |vecb| if (veca+vecb).(veca-vecb)=8 and |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. Find veca.vecb if |veca|2, |vecb|=5,a and |vecaxxvecb|=8

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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. I the vectors veca,veca=xhati+yhatj+zhatka and vecb=hatj are such that...

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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)=2vecaxx vecb and give a genometrica...

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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. Let veca vecb and vecc be three non-zero vectors such that veca + vecb...

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