Let a and B Be Unit Vectors and C =

question 107

Essay

Let a and b be unit vectors and c = a + b. Use the dot product to prove that the angle between a and c is equal the angle between b and c.

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Definitions:

Somatic Nervous System

A section of the peripheral nervous system that manages the conscious control of bodily movements through the use of skeletal muscles.

Spinal Cord

A long, thin, tubular structure made up of nervous tissue, extending from the brain, serving as the main pathway for information connecting the brain and peripheral nervous system.

Autonomic Nervous System

The part of the nervous system that controls involuntary functions such as heartbeat, digestion, and breathing.

Voluntary Nervous System

Part of the nervous system responsible for the control of voluntary movements and the communication of sensory information to the CNS.