Recent content by veritaserum20

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    Analysis of Lorentz Force on Particle Motion

    Homework Statement Consider a particle of mass m that carries a charge q. Suppose that the particle is under the influence of both an electric field E and a magnetic field B so that the particle's trajectory is described by the path x(t) for a\leqt\leqb. Then the total force acting on the...
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    Basis for Plane Perpendicular to a Line

    Homework Statement Let L be the line in R^3 spanned by v1=(1,1,1) Find a basis (v2,v3) for the plane perpendicular to L, and verify that B=(v1,v2,v3) is a basis for R^3. Homework Equations The Attempt at a Solution I know that if two vectors are perpendicular or orthogonal that...
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    Proof of sums of linear transformations

    Given linear transformations S: Rn --> Rm and T: Rn --> Rm, show the following: a) S+T is a linear transformation b) cS is a linear transformation I know that since both S and T are linear transformations on their own, they satisfy the properties for being a linear transformation, which is that...