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Mathematical vectors, operations on vectors and vectorized programming.

7 votes
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How to use DSolve with vectors without decomposing into vector components?

Given a basic, two-dimensional ballistic trajectory problem, I can solve the equations of motion using DSolve (or NDSolve) by decomposing the vector equations of motion into equations with the scalar components …
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5 votes

Doing vector manipulations on Mathematica

+ (1/2) (v1.v2)/(Norm[v1] Norm[v2]) use it to evaluate for any two vectors f2[q1, q2] (* 5/7 + (8 Sqrt[2/11])/7 *) then square it if you wish f2[q1, q2]^2 If you want to work with generalized vector … components and know the dimensions of each vector, use for example q1 = {x1, y1, z1} q2 = {x2, y2, z2} f2[q1, q2] …
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