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Cartesian Coordinates Part 2 – Moving from Pt. to Pt.

A Cartesian Vector

A Cartesian Vector

Being able to map points on a Cartesian Coordinate System is all well and good, but sooner or later we will need to know how to move from one point to another.  This post is the first baby-step in that direction.   A line pointing from one point to another is called a Vector.  A vector conveys two pieces of information.  It explain how far or quantity and direction.   The vector I present in this post does exactly that.  However,  usually when we think of vectors we think of the arrow pointing directly from one point to the other or as I say in the video, “as a bird flys”.   It is possible however, to describe the direction as simple steps that are parallel to one of the axis.  This method would actually be more useful in a city laid out in a grid pattern and with building preventing us from walking a direct path.

 

The Method to determine the direction of the Vector

The Method to determine the direction of the Vector

Very soon we will be developing the math to be able to describe both the arrow length and direction for the direct path.   That is officially called the polar coordinate system, but it is often necessary to convert from one system to the other.  However, even when doing that the first step is to determine the vector in the Cartesian form.   I have included one of the pictures I displayed in the video to help remind you to subtract the “From Point” coordinates from the “To Point” coordinates to get the direction correctly.

 

 

 

The video associated with this post is embedded below.

 

As always I hope you find this post informative and helpful.
Gary

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