The electric field in a certain region is E = (4.0j) N/C. Determine the electric

Question

The electric field in a certain region is E = (4.0j) N/C. Determine the electric flux due to this field through an area represented by the vector A = (6.9i 6.0k) m^2. N · m^2/C (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A = (6.9i 6.0j) m2. N · m^2/C

I forgot how to do the dot product could you please show me that part

7. 2/2 points I Previous Answers OSUniPhys1 23.1.WA.002 My Notes Ask Your Teacher a The electric field in a certain region is E = A- (6.91 6.ok) m2 4.0 N C. Determine the electric flux due to this field through an area represented by the vector (b) Determine the flux due to the same electric field when the surface orientation has changed such that the area is now represented by the vector A (6.9i-6.0j) m2. 24 Additional Materials eBook

Explanation / Answer

flux = E.A { dot product}

(A) flux = (0 x 6.9) + (-4 x 0 ) + (0 x -6)

= 0

(B) flux = (6.9 x 0) + (-4 x -6)

= 24 N m^2 /C

{ dot product of two vector A and B

A.B = (Ax i + Ay j + Az k).(Bxi + By j + Bx k)

= (Ax Bx) + (Ay By) + (Az Bz)}

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