Two parallel plates are 1 cm apart and are connected to a 500 v source. what force will be exerted on a single electron half way between the plates?

8 *10 ^-15 N= 8 fN

Explanation: In order to solve this we have take into account the following expression:

V=E*d the potential is equal to electric field multiply the separation between the plates.

The we have

E=V/d= 500 V/0.01 m=50000 N/C

then the force is given by

F=e*E = 1.6 * 10 ^-19 C*50000 N/C=8*10^-15 N

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.