L ESSON 6 – M ULTIPLYING A V ECTOR BY A S CALAR July 31, 2013.

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Presentation transcript:

L ESSON 6 – M ULTIPLYING A V ECTOR BY A S CALAR July 31, 2013

L EARNING G OALS Scalar Multiplication Unit Vectors Collinear Vectors Linear Combinations Review of Sine and Cosine Law Physics Applications of Vectors

S CALAR M ULTIPLICATION

U NIT V ECTORS

U NIT V ECTORS E XAMPLE

C OLLINEAR V ECTORS Vectors are collinear if they lie on a straight line when arranged tail to tail. The vectors are also scalar multiplies of each other, which means that they are parallel. All are examples of collinear vectors!!

C OLLINEAR V ECTORS E XAMPLE

L INEAR C OMBINATIONS OF V ECTORS

R EVIEW S INE L AW

R EVIEW C OSINE L AW

P HYSICS E XAMPLE 1

P HYSICS E XAMPLE 1….C ONTINUED

P HYSICS E XAMPLE 2

P HYSICS E XAMPLE 3

R EQUIRED B EFORE N EXT C LASS Review your notes for the whole chapter, there may be a pop quiz tomorrow Read Section 6.3 and make notes Section 6.3 # 4, 11, 19, 21 Add me on Facebook, Peter Bishop, but be sure to send a message along with it indicating which class you are in, and what section. Join the Facebook group for Calculus and Vectors Write to me your , so I can send you an invitation into dropbox, which will be used throughout the course.