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Vector and Matrix Operators
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=== Cross Product (Γ or β¨―) === * '''Psionics Equation''': The cross product can model the interaction of psionic energy fields. For example: <math>\mathbf{B} = \mathbf{v} \times \mathbf{E}</math> ** Cross products are vital for determining orientations in psionic energy fields, aiding in the manipulation and control of telekinetic forces. ** They are utilized in modeling electromagnetic induction phenomena, essential for understanding the generation of electric fields in electrogravitic propulsion systems. * '''Electrogravitics Equation''': In electrogravitics, the cross product is used to calculate the torque exerted on a charged particle in a magnetic field, influencing propulsion mechanisms. <math>\boldsymbol{\tau} = \mathbf{r} \times \mathbf{F}</math> ** Cross products are essential for determining the torque experienced by charged particles in electromagnetic fields, crucial for optimizing propulsion mechanisms. ** They are utilized in simulating fluid flow dynamics, such as plasma propulsion, by determining the direction of vorticity or angular momentum.
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