Use Fxyz)- -zi t xk. to answer the questions below. In each problem, the surface

Question

Use Fxyz)- -zi t xk. to answer the questions below. In each problem, the surface, S, is flat and oriented as shown when restricted to the surface s, F(x,y,z) = Orientation of the surface, as a unit vector: Sign of flux of F through S. Negative -j + x k When restricted to the surface s, F(x,y,z) -1-k + xj | X Orientation of the surface, as a unit vector: Sign of flux of F through S. Positive When restricted to the surface s, Fx,yz) Orientation of the surface, as a unit vector: sign of flux of F through S. Zero ? When restricted to the surface S, F(x,y,z) Orientation of the surface, as a unit vector: k Sign of fux of F through S. Negative

Explanation / Answer

SOLUTION:

F(x,y,z) = ?z?i? + xk
For figure a
The flux is= (-zi+xk)•(xi)=-xz(negative)
For figure b
The flux is= (-zi+xk)•(xi)= xz(positive)
For figure c
The flux is= (-zi+xk)•(yj)=0(zero)
For figure d
The flux is= (-zi+xk)•(-zk)=-xz(negative)?

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