Math 203 Lecture 3 - Vectors - their geometry, arithmetic and applications

In this lecture we go over the basic information behind vectors. Vectors allow us a very convenient way to navigate and locate points in 3-space and higher dimensions. We look at how to add and subtract them, how to apply scalar multiples and what doing these things mean geometrically. We look at how to find the magnitude of vectors and the unit vector of a vector, different vector notations, including the ijk-notation, what it means for vectors to be parallel, etc.

We also looked at some physical applications of vectors. We look at a tension problem, and introduce a boat tugging problem which we will look at next time.

We will continue next time talking about even more things involving vectors, including the ever important dot product.

[countingpebbles]

May be better to introduce position vectors before discussing whether two vectors are parallel. Loving the series thus far.

[countingpebbles]

What area of math are you mostly interested in? Any recommendations for financial models? Stats and probability mostly? Sorry if I am a pest, let me know!!

[ghareisa]

Hello Jhevon,
I have a question.
At 1:08:08, the coordinates of T1 in both equations, are they right? or is there something the should done for it to be this way? I'm confused, how did they go from T1*rad(2)/2 to T1/rad(2)?

Your lectures are really helpful. Thank you so much for sharing them!

[UnforsakenXII]

Okay, yeah. I broke. Just going to start calc 3 now instead of wait another month, lol.