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Lesson 2 – Vectors, more motion problems, using computers

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ENGR 1181 | MATLAB 3: Array Creation

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... Write down a vector equation of the straight line a parallel to the vector (i + 3j − 2k) which passes through the point with position vector (4i + k), b perpendicular to the xy-plane which passes through the point with coordinates (2, 1, 0), c parallel to the line r = 3i − j + t(2i − 3j + 5k) which ...
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Four-vector

In the theory of relativity, a four-vector or 4-vector is a vector in Minkowski space, a four-dimensional real vector space. It differs from a Euclidean vector in how its magnitude is determined. The transformations that preserve this magnitude are the Lorentz transformations, which include spatial rotations, boosts (a change by a constant velocity to another inertial reference frame), and temporal and spatial inversions. Regarded as a homogeneous space, the transformation group of Minkowski space is the Poincaré group, which adds to the Lorentz group the group of translations. The Lorentz group may be represented by 4×4 matrices.The article considers four-vectors in the context of special relativity. Although the concept of four-vectors also extends to general relativity, some of the results stated in this article require modification in general relativity.
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