Tech Math: Cross Multiplication

 

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Relevant Material: "Cross multiplication has real-life applications in physics, such as calculating torque to determine the turning force of a wrench or bicycle pedal, and in computer graphics and other fields for determining a vector normal to a plane. It is also used for finding the area of a parallelogram or triangle from vectors and calculating magnetic forces, with implications in fields like computer graphics and robotics. 
Physics and engineering
  • Torque: When a force is applied to cause rotation, such as using a wrench to tighten a bolt or pushing a bicycle pedal, the cross product can be used to calculate the torque (turning effect). The direction of the torque vector is perpendicular to both the force and the radius vector from the pivot point to where the force is applied.
  • Angular momentum: The cross product is used in physics to define the angular momentum of a rotating object.
  • Magnetic force: The cross product is essential for calculating the force on a moving electric charge in a magnetic field.
  • Area and volume: The magnitude of the cross product of two vectors gives the area of the parallelogram they define. This can be used to find the area of a triangle (half the parallelogram's area) and to calculate the volume of a parallelepiped. .." (Google) 
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