## Wednesday, December 27, 2017

### preCalculus 2017-2018: Vector and Polar Notation! (December)

preCalculus 2017-2018:
Vector and Polar Notation!
(December)

Chapter 9 ScreenCasts

Chapter 9 was all about Vector and Polar Notation. First we talked about Complex Number arithmetic on the Complex Plane depicting Complex Numbers as Vectors with a Direction (theta=arctan(y/x)) and Magnitude (r=sqrt(x^2+y^2)). We also converted from Polar to Cartesian forms (x=r*cos(theta), y=r*sin(theta)). We played around with CIS(theta) notation, DeMoivre's Theorem and even touched on Euler's Trig Identity!

Then we extended our understanding of Complex Vectors to Vector Sums, Vector Differences and Dilating a Vector by a Scalar. Finally we talked about the differences and applications of the Scalar Dot Product and the Vector Cross Product. We even talked about Orthogonality and the Triple Scalar Product!

December Carols!

preCalculus (period 9) went to Volleyball!

Well, that's all folks!
Teaching with Technology,
AJG
A. Jorge Garcia

Applied Math, Physics & CompSci