LESSON 6 – MULTIPLYING A VECTOR BY A SCALARJuly 31, 2013

LEARNING GOALS Scalar Multiplication Unit Vectors Collinear Vectors Linear Combinations Review of Sine and Cosine Law Physics Applications of Vectors

SCALAR MULTIPLICATION

UNIT VECTORS

UNIT VECTORS EXAMPLE

COLLINEAR VECTORSVectors 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!!

COLLINEAR VECTORS EXAMPLE

LINEAR COMBINATIONS OF VECTORS

REVIEW SINE LAW

REVIEW COSINE LAW

PHYSICS EXAMPLE 1

PHYSICS EXAMPLE 1….CONTINUED

PHYSICS EXAMPLE 2

PHYSICS EXAMPLE 3

REQUIRED BEFORE NEXT CLASS 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 e-mail, so I can send you an

invitation into dropbox, which will be used throughout the course.