Final answer:
The left hemisphere of the cerebrum controls the ability to move your right hand due to the crossing of the nerve fibers within the brain and spinal cord.
Step-by-step explanation:
The section of the brain that controls the ability to move your right hand is the left hemisphere of the cerebrum. This is because there is a crossing of the nerve fibers in the brain and spinal cord, which means that each hemisphere primarily controls the movements of the opposite side of the body.
Specifically, within the left hemisphere, the precentral gyrus (part of the frontal lobe) is responsible for generating the neural impulses that control voluntary muscle movement. Therefore, to move your right hand, the motor commands originate from the left hemisphere.
The two hemispheres are connected by a thick bundle of axons called the corpus callosum, which allows communication between the two sides. Despite this connectivity, it's the left hemisphere that will directly influence movement in the right hand.