Recent content by gotpho

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    Linear Algebra - Homogenous Coordinates

    I done a little thinking and is it possible that the transformation for the reflection is the identity multiply the line. so 1 0 -3 -3 X = 0 1 0 0 thus the transformation matrix for the reflection is 1 0 -3 0 1 0 0 0 1 Can anyone...
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    Linear Algebra - Homogenous Coordinates

    Homework Statement Find a 3x3 matrix produces the following 2D composites transformation by translation and reflection about the line x=-3 The attempt at a solution I understand translation but how do you go about doing reflection? I'm guessing for reflection, I need to do a...
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    Vector Calculas: Simplifying expressions

    Perhaps but the book wrote it as (a - b) \cdot (b - c) X (c - a). The book says the answers is 0 but I'm clueless as to where to begin. I'm guessing we have to simplify the cross product first.
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    Vector Calculas: Simplifying expressions

    Homework Statement (a -b) \cdot (b - c) \times (c - a) Homework Equations The Attempt at a Solution Honestly I have no idea where to being. I believe this expression is a scalar triple product but I do not know how to use the properties to simplify this expression. Sorry, kind...
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    The Differential Equation of Free Motion

    Thanks anyway but I solved this problem. I rethought about the mass and realized that 1 pound is equal to mg. Thus 1/32 is the actual mass. So the equation should have been 1/32x" + 100x=0, x(0)=1/12, x'(0)=0 So yeah, now everything makes sense.
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    The Differential Equation of Free Motion

    Homework Statement A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then stretched an additional 1 inch and released. Find the equation of motion, the amplitude, and the period. Neglect friction. Homework Equations...