Blog: Each corner of a right angled triangle is occupied by identical point charges "A", "B", and "C" respectively. Draw a sketch of this arrangement....

Hello!

Because the charges are identical, they repel each other. Therefore the direction of the force that $\displaystyle{A}$ exerts on $\displaystyle{B}$ is directed from $\displaystyle{A}$ to $\displaystyle{B}$ (outside the triangle $\displaystyle{A}{B}{C}$ ). The direction of the force that $\displaystyle{C}$ exerts on $\displaystyle{B}$ is from $\displaystyle{C}$ to $\displaystyle{B}$ (also outside the triangle $\displaystyle{A}{B}{C}$ ).

The net force is the vector sum of these two forces. Both forces have equal magnitude $\displaystyle{F}$ and the angle between them is...

Hello!

The net force is the vector sum of these two forces. Both forces have equal magnitude $\displaystyle{F}$ and the angle between them is $\displaystyle{90}$ degrees, and the magnitude of the net force is the length of the hypotenuse of a right triangle with the legs of length $\displaystyle{F}.$ It is $\displaystyle{F}\cdot\sqrt{{{2}}}$ (this is the answer for "an expression").

The direction of the net force is $\displaystyle{45}$ degrees to both forces outside of the triangle $\displaystyle{A}{B}{C},$ because the parallelogram of forces is a square in this case. Please look at the picture attached.