A × B =ABcosq . In terms of the Cartesian components of the vectors A and B the

Question

A×B =ABcosq .

In terms of the Cartesian components of the vectorsA and B the scalar product iswritten as

A×B =AxBx+AyBy+AzBz.

E is a vector quantity. It is useful alsoto represent the area A by a vector A. Thelength of this vector is the size of the area, while itsorientation is perpendicular to the area. It is in thedirection of the normal n. We haveA = An. The normal to the surfacecan point into two different directions. For a closedsurface, by convention, the normal points outward.

With our definition of A we can write the fluxas the dot product of E andA.

Fe =E×A.

E×A =ExAx+EyAy+EzAz

Here Ex = 10N/C, Ey = 10N/C, Ez= 0.

A =Ai

Ax = A, Ay =0, Az = 0, with A =100*10-4 m2.

Explanation / Answer

x.

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