Here, we will first laugh at my attempts to add levity to a dull title like Dimensional Analysis. I realize my”edgy” title giving abilities leave something to be desired and will be kept to a minimum. Anyway, on a more useful note, we will discuss the ideas needed to navigate a word problem using the idea of related rates or ratios that are multiplied as factors to render an appropriate answer. The main idea is to understand what is asked of you in the problem and then use your own cunning to to find related data that articulates (or dis-articulates) a given problem and its native unit format to an intelligible solution.
Here we will explore the concept of a Unit vector and some related thoughts. We will go deeper into what a vector is made of and practice an example of both creating a Unit vector and also a linear combination of i and j. As always, enjoy and feel free to give some feedback!
In the third part of this lecture, we will be culminating our new-found knowledge to derive a 2d Vector given only the magnitude and direction in word problem form. To be able to answer these style of questions there will be some instruction provided that goes “in detail” about the component make up of a Vector. I will explain the component parts (x,y) and their associated meanings. This will give a clear and intuitive understanding of how to provide a logical answer when faced with a similar question (usually in a Physics setting).
Here we will continue deeper into Vectors and actually plot one and discuss the formulas needed reveal the length (magnitude) and Theta (direction angle). I will solve a question by providing a 2d Vector from the given plots and also using the new found Vector to discover it’s length and angle. It is a very straight forward lecture in this series but none the less important before moving on. If there are any questions please feel free to contact me.
In this “continuous-form” lecture I will be discussing Vectors and their associated operations. At first we will explore what a vector is and what components are necessary to actual make it a vector. We will cover scalars, Magnitude, Direction Angle, and learn some useful formulas for manipulating vectors to achieve a goal. As I have written, this will be a continuous form lecture in that it will consist of numerous chronological parts. I am trying this approach for a few reasons but mainly because it can keep these Livescribe files short enough to easily view and it will serve to “compartmental-ize” the data so that any un-clear areas or topics can be easily found/viewed without much trouble. as always I hope you enjoy this lecture and invite you to feel free with any questions or comments you may have.