D Transcribe The Left-hand Sin X G Find the eigenvalues and eig x I
Now, we know that ax(bxc)=(a-c)b(a-b)c
2K @731 = Zcfw_( ' 0%, + Zcfw_ X [ix 3) #CULLEGEHAPPENS
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The neutron mean free path is . by dinition . the merge
nance lbs 1 neutron will we] in 1 amino: without Interacting.
It on be obtained Eran: the problbility that a neutron will
i, j, and k directions respectively.
9 Let u be an arbitrary vector with components f(x,y,z), g(x,y,z), and h(x,y,z) in tl IQ]
u = < fin/.2) , elm/.2) . h(xiy,2) >
Calculate the curl of u ( curl(u) = del x u ). The x stands for the cross product.
oblem 3: Use the indicial notation to prove the following results for vectors U,V,W,X
u x v = (v x u)
w x (11 X v) = u(w.v) v(w.u)
(x X w). (u x v) = (x.u)(w.v) (x. v)(w. u)
(x X w) X (u x v) = w[(x. (u x VD] x[w. (u x v)]
div(u x v) =
= +1 if 1' jlc represents an even permutation of 123 ;
Eijk = 0 ifany two of ijk indices are equal ; (2.5)
= 1 if ijlc represents an odd permutation of 123 .
It follows from this denition that am has the symmetry properties
Eijk = Ejkr'. = Ekzj = -&u = Ej
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Makes 2 cups
1 cinnamon stick, crushed
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2 cups water
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We have two integral theorems which we are going to use.
for any vector field E
v - (1)
s c - (2)
since the surface i
6 uestlon 1:
leftIT: UIi + U2j + Usklil. = U1i+ Uzi + U3kand Ill. = lLlji + ij + 111316
Now we find
i j k
(U X 1.3) = U1 U2 1.73
w] 1ng 103
(U X 13) = (2% 3102); + (31111 01103) + (Ulwz 112101)];
it x (if x u?) = u] u
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ACCT 728 Fall 2014 PMBA
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