The 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 most [...]
Tags: cartesian coordinates, cartesian to cylindrical conversion, cartesian to spherical conversion, cylindrical coordinates, spherical coordinates
Suppose 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 [...]
Tags: find unit vector, unit vector, unit vector between two points, vector
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 this:
RULE 1:
This is [...]
Tags: dot product, dot product angle, find dot product, vector angle, vector dot product, vectors
This 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
In MATLAB: [...]
Tags: adding vectors, subtracting vectors, vectors
