10.2 Two-Dimensional Vector Practice

I know, I know- vectors. Not the most popular of all lessons, but getting these concepts down comes in pretty good handy in the real world (& in the computation of your math & physics grades). It’s all about mental paradigm, guys! We can do this! Here’s the trick: pretend that you have a friend named Hector. Now change that “H” to a “V” and you’re set. Vectors are our friends!

10.2 is basically about grasping basic concepts of 2D vectors, which will eventually be extended to 3D vectors!!!

Vector Anatomy & Concepts:


the 2 vector characteristics-





Vector Vocab:
-Vector Quantity: A quantity with magnitude & direction (like velocity, tension of a string, various forces)
-Scalar: A quantity with only magnitude (like height, speed, time)
-Magnitude = absolute value = length
Symbol:
According to the Pythagorean Theorem, if

then

-Unit Vector: A vector in terms of a single unit. It is the direction of a vector divided by its length.
-Position Vector: A vector that starts at the origin and ends at the point (x,y)


-Displacement Vector: the difference between an object’s initial & final positions.

Vector sum & vector difference:


Let’s try some * applications *…
Moustaches on a Plane
There are two moustaches on an x-y coordinate plane. A force from the origin of the plane is acting upon a curly English moustache at point A(4,11) and another on a Toothbrush moustache one at point B(12,5).






















This one's the best, just multiply the unit-vector answer by 10!

Also, as a side note, both of the vectors are position vectors, since they start from the origin.

Thaaaattt...should be it! Here's an extra help site: http://id.mind.net/~zona/mstm/physics/mechanics/vectors/vectors.html
or you can just ask me for help!

Just in case you guys didn't already know... I've got a concert tomorrow with the Glendale Youth Orchestra! If you're at all interested or willing to go out on a Tuesday night (7:30 precisely at the Alex Theater in Glendale), let me know- Beethoven 3 AND free tickets!!!



Oh, and Joey, you're up next. Hope ID went well for ya!