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Conversions Between Cartesian, Cylindrical and Spherical Coordinates

TweetThe 3 common methods of describing a point in a three dimensional coordinate system are Cartesian, Cylindrical and Spherical. The most simple is Cartesian but certain teachers find it necessary to use the others. There are a few simple conversions between them but first it is necessary to know their notation. Cartesian: Cylindrical: Spherical: In [...]

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Unit Vector Between Two Points

TweetSuppose you are interested in finding the unit vector between two points, and , which are described in cartesian coordinates as and , respectively. You would begin by finding the vector between these two points. The direction of this vector may be important so look for key words such as . Once we have established [...]

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Finite State Machines

TweetA Finite State Machine (FSM), or just state machine, is a model of behavior composed of a finite number of states. We use these in computer engineering to model a “machine” with primitive memory. Based on the signals  we recieve, we go to a certain state where information is processed, and then we wait for [...]

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Vector Dot Product

Posted by Jeff on Sep 8, 2009 in Calculus, Electromagnetic Theory, Math, MATLAB, Physics, Statics

TweetVector dot product rules Another simple review of the vector dot product, for those of you that have forgotten.  The operation that involves multiplying two vectors together can be done in a few ways.  The first operation is called either the scalar product or the dot product.  One of the well known definitions looks like [...]

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Adding and Subtracting Vectors

Posted by Jeff on Sep 8, 2009 in Calculus, Dynamics, Electromagnetic Theory, Math, MATLAB, Physics, Statics

TweetThis is a very simple post and a very simple subject, but every once in a while even the experts need to be reminded how to do simple addition and subtraction with vectors.  Let’s go ahead and specify a couple vectors that we can work with. Vector In MATLAB: >>A = [1 2 4]; Vector [...]

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