A conductor (shown in the figure) carrying constant current I is kept in the x-y plane in a uniform magnetic field $$\overrightarrow{B}$$. If F is the magnitude of the total magnetic force acting on the conductor, then the correct statement(s) is(are)

A

If $$\overrightarrow{B}$$ is along $$\widehat{z}, F \propto (L + R)$$

B

If $$\overrightarrow{B}$$ is along $$\widehat{x}, F = 0$$

C

If $$\overrightarrow{B}$$ is along $$\widehat{y}, F \propto (L + R)$$

D

If $$\overrightarrow{B}$$ is along $$\widehat{z}, F = 0$$