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```        Q:-If p=λ(u×v)+μ(v×w)+κ(w×u) and [uvw]=1/5,then find λ+μ+κ.(here p,u,v,w are vectors and λ,μ,κ are scalars)
a. 5
b. 10
c. 15
d. none```
7 years ago

147 Points
```										Dear Tapasranjan Das
p=λ(u×v)+μ(v×w)+κ(w×u)
then
u.P  =μ u.(vXw)
=μ [u v w]
=μ/5
similerly
v.P = κ/5
and   w.P = λ/5
add  these value   (λ+μ+κ)/5 =u.P + v.P +  w.P
λ+μ+κ   =5(u+v+w).P
clearly different combination of u,v,w final result will change .
Please  feel free to post as many doubts on our discussion forum as you can. If  you find any question Difficult to understand - post it here and we  will get you the answer and detailed solution very quickly. We are  all IITians and here to help you in your IIT JEE  & AIEEE  preparation. All the best. Regards,Askiitians  ExpertsBadiuddin
```
7 years ago
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