Editing Vector and Matrix Operators (section)

=== Dot Product (· or ⋅) ===
* '''Psionics Equation''': The dot product can be used to calculate the alignment of telekinetic forces. For example:
<math>\mathbf{F} \cdot \mathbf{d} = |\mathbf{F}| |\mathbf{d}| \cos(\theta)</math>
** The dot product helps in determining the work done by a force along a specific direction, crucial for understanding energy transfer in electrogravitic propulsion systems.
** It is used to calculate the angle between vectors representing forces or fields, providing insights into the alignment of gravitational or electromagnetic interactions.
* '''Electrogravitics Equation''': In electrogravitics, the dot product is utilized to determine the component of electric field parallel to the gravitational field, aiding in propulsion calculations.
<math>\mathbf{F} \cdot \mathbf{E} = |\mathbf{F}| |\mathbf{E}| \cos(\theta)</math>
** The dot product helps in calculating the work done by an electric field along the direction of the gravitational field, crucial for understanding energy transfer in electrogravitic propulsion systems.
** It is used to assess the alignment between the electric and gravitational fields, aiding in the design of efficient propulsion mechanisms.