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If vecd = gamma(veca xx vecb) + mu(vecb ...

If `vecd = gamma(veca xx vecb) + mu(vecb xx vecc) + v(vecc xx veca)` and `[veca vecb vecc]=1/8`, then `lambda = mu + v` is equal to:

A

`8(r.a)`

B

`8(r.b)`

C

`8(r.c)`

D

`8r(.(a + b + c)`

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Verified by Experts

The correct Answer is:
D
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ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (3) (MULTIPLE CHOICE QUESTIONS)
  1. For three vectors vecu,vecv,vecw which of the following expressions is...

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  2. If veca, vecb, vecc are non-coplanar vectors, then (veca.(vecbxxvecc))...

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  3. If vecd = gamma(veca xx vecb) + mu(vecb xx vecc) + v(vecc xx veca) and...

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  4. If a, b, c are non-coplanar vectors and r is a unit vector, then |(r....

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  5. Let veca=a(1)hati+a(2)hatj+a(3)hatk,vecb=b(2)hatj+b(3)hatk and vecc=c(...

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  6. The scalar vec Adot( vec B+ vec C)xx( vec A+ vec B+ vec C) equals 0 b...

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  7. If [(3a + 5b) (c) (d)] = p [acd] + q[bcd], them p + q=

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  8. (a + 2b-c).[(a-b) xx (a-b-c)] is equal to

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  9. If a, b and c three non-coplanar vectors, then (a + b +c). [a+b) xx (a...

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  10. If vec u , vec va n d vec w are three non-cop0lanar vectors, then ...

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  11. If vec a , vec ba n d vec c are unit coplanar vectors, then the sc...

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  12. If a,b,c ar enon-coplanar vectors and lamda is a real number, then the...

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  13. If bara,barb,barc are non-coplanar vectors and lambda is a real number...

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  14. The resultant of two forces P N and 3 N is a force of 7 N. If the d...

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  15. a =hati+hatj-hatk,b= hati-2hatj+hatk,c=hati-hatj-hatk, then a vector i...

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  16. Let a =i-j,b=j-k,c=k-i. If d is a unit vector such that a.d =0 = [vecb...

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  17. x,y,z are distinct scalars such that [xa+yb+zc, xb+yc+za, xc+ya+zb] =0...

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  18. If l,j,k are the usual three perpendicular unit vectors then the val...

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  19. Write the value of hat idot( hat jxx hat k)+ hat jdot( hat kxx hat i)...

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  20. If a =i+j-k,b=i-j+k andc=i-j-k then axx(bxxc) =

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