May 4, 2010

Today we started class with a WARM UP....

We worked on finding the component form, magnitude, and direction angle of vectors. Finding the component form of the the vectors was not too hard. Mr. O'Brien showed us a trick to help us remember how to find the component form. Terminal - Initial = Component Form.. (T-I!) Someone suggested that thinking of our super T-I 83 or 84 calculators could be a helpful reminder of how to find the component form.


Vector AB

Vector CD


Direction angle seemed to be the one part of the warm up that confused the class. We used Geogebra to help us visualize where the direction angle was.


The angle shown in both triangles is subtracted from 360˚ to find the directional angle.














That was only the first part of the warm up.....

For the second part we worked on finding the value of 3 x vector u.
Mr. O'Brien shared another helpful hint with us, he told us that if the magnitude of vector u and (theta) are given then the component form is u x cos(theta), magnitude of vector u x sin(theta)>.
Also, when a vector is multiplied by a number it is called a scalar. When the vector is multiplied by a number it is dilated geometrically.

We also looked at the result of two vectors added or subtracted, and their relation to 3(vector u) with Geogebra.














The three segments in the image above are: 3 x vector u, vector u - vector v, and vector u + vector v. The discovery that we made with Geogebra is that the three segments make up a triangle!!


We also went over the quiz that we took last class. Mr. O'brien stressed to make sure that the answer that you found while working through a problem was an answer that the question was looking for.
**Besides some silly/careless errors, Mr. O-Brien said that overall, we are showing great progress with our homework quizzes! way to go


Homework Questions.... were #59 and 61 on Pg. 456. These questions were addressed when we went over the warm up.

Keep on top of your homework! Due next class: pg. 456 #15-20, 25, 31, 43, 49, 53, 69, 73
Reminder: Quiz Monday 5/10
TEST Monday 5/17

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