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If veca = 2vecj+3vecj-veck, vecb =-veci+...

If `veca = 2vecj+3vecj-veck, vecb =-veci+2vecj-4veck and vecc=veci + vecj + veck`, then find the value of `(veca xx vecb).(vecaxxvecc)`

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`vecaxxvecb= |{:(hati, hatj,hatk),(2,3,-4),(-1,2,-4):}|= - 10 veci + 9 vecj + 7 veck`
`vecaxxvecb= |{:(hati, hatj,hatk),(2,3,-1),(1,1,1):}|= - 4 veci - 3 vecj -veck` `Rightarrow (vecaxxvecb) . (vecaxxvecc) = - 40 - 27 - 7 = -74`
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CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Find veca.vecb if |veca|2, |vecb|=5,a and |vecaxxvecb|=8

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

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

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

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

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  6. Show that (veca-vecb)xx(veca+vecb)=2vecaxx vecb and give a genometrica...

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

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

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

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  10. A particle has an angular speed of 3 rad/s and the axis of rotation...

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  11. Let vea, vecb and vecc be unit vectors such that veca.vecb=0 = veca.ve...

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  12. If |vecaxxvecb|^(2)+(veca.vecb)^(2)=144and|veca|=4,"then "|vecb| is eq...

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  13. Given |veca|=|vecb|=1 and |veca + vecb|= sqrt3 "if" vecc is a vector s...

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  14. Find the moment of vec F about point (2, -1, 3), where force vec ...

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  15. If veca , vecb , vecc and vecd are four non-coplanar unit vectors such...

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  16. If vecl,vecm,vecn are three non coplanar vectors prove that [vec vecm ...

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  17. if the volume of a parallelpiped whose adjacent egges are veca=2hati+3...

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  18. If veca=hati+hatj+hatk and vecb = hati-2hatj+hatk then find vector vec...

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  19. If vecx.veca=0vecx.vecb=0 and vecx.vecc=0 for some non zero vector vec...

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  20. If veca=hati+hatj + hatk and vecb = hati - 2 hatj+hatk then find the v...

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