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Inertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton
Inertia, Forces, and Acceleration: The Legacy of Sir Isaac Newton

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Vector Algebra and Velocity

... product will have different dimensions than the original vector. So it does not make any sense to say “larger” or “smaller” in this type of multiplication. One of the most important laws in mechanics involves the multiplication of a vector by a scalar. This is Newton’s Second Law of Motion given by: ...
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Derivations of the Lorentz transformations

There are many ways to derive the Lorentz transformations utilizing a variety of mathematical tools, spanning from elementary algebra and hyperbolic functions, to linear algebra and group theory.This article provides a few of the easier ones to follow in the context of special relativity, for the simplest case of a Lorentz boost in standard configuration, i.e. two inertial frames moving relative to each other at constant (uniform) relative velocity less than the speed of light, and using Cartesian coordinates so that the x and x′ axes are collinear.
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