Hello, I need some resources or books that can teach Trigonometry and Algebra that relates to vectors, matrices etc at a lower grade level to understand the basics, before moving up the ladder, any online or book suggestions ?
Hello, I need some resources or books that can teach Trigonometry and Algebra that relates to vectors, matrices etc at a lower grade level to understand the basics, before moving up the ladder, any online or book suggestions ?
Hey GreyWolf.
I don't know about any specific resources that meet that need, but one thing that you can do is discuss the rotation matrix. This will link all the topics together in a nice fashion.
The idea is that you start off in 2D and you want to rotate a point some angle. So you start with a point (x,y) rotate it (x',y') and then construct the matrix to take (x,y) to get (x',y') where (x,y) = x, (x',y') = b and Ax = b where A is a 2x2 matrix.
You can derive this using some basic trig addition laws for sin(a+b) and cos(a+b) which can be proved either geometrically or otherwise. Once you do this you derive your rotation matrix and then introduce matrix multiplication where Ax = b and you can look at the inverse process to get x given b by using x = inv(A)*b, and show that inv(A) simply rotates by the negative of the angle by showing that you get -theta instead of +theta.
That should link up matrices, vectors and trig nicely.
This is a great resource. It is relatively inexpensive. It requires no calculus.
Frankly, that response mystifies me. What does it mean?
You always must start at some level of mathematics understanding.
The reference I gave you assumes nothing beyond basic pre-calculus.
Look, the study of vectors is not for amateurs.
You really do need to know basic calculus.
However, this is another book. Look for a text by h.m. schey.
At what grade level is Algebra and Triganmonety taught ? I need something that gets the mind started, jumping into it too far, I won't learn, my focus is on vectors and trigonometry with 3D shapes ? I hope that helps, imagine if you will, you knew almost nothing or forgot alot of this stuff, you don't have a personal teacher, so you need a book to get the mind started, that is basic, that can break down how a vector works, how a matrices works, what is a dot product etc. Explaining all of this, without fancy equations, but simple ways to understand, from that point once ready I can move up the latter.