lesson 6 – multiplying a vector by a scalar
DESCRIPTION
Lesson 6 – Multiplying a Vector by a Scalar. July 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. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/1.jpg)
LESSON 6 – MULTIPLYING A VECTOR BY A SCALARJuly 31, 2013
![Page 2: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/2.jpg)
LEARNING GOALS Scalar Multiplication Unit Vectors Collinear Vectors Linear Combinations Review of Sine and Cosine Law Physics Applications of Vectors
![Page 3: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/3.jpg)
SCALAR MULTIPLICATION
![Page 4: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/4.jpg)
UNIT VECTORS
![Page 5: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/5.jpg)
UNIT VECTORS EXAMPLE
![Page 6: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/6.jpg)
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!!
![Page 7: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/7.jpg)
COLLINEAR VECTORS EXAMPLE
![Page 8: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/8.jpg)
LINEAR COMBINATIONS OF VECTORS
![Page 9: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/9.jpg)
REVIEW SINE LAW
![Page 10: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/10.jpg)
REVIEW COSINE LAW
![Page 11: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/11.jpg)
PHYSICS EXAMPLE 1
![Page 12: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/12.jpg)
PHYSICS EXAMPLE 1….CONTINUED
![Page 13: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/13.jpg)
PHYSICS EXAMPLE 2
![Page 14: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/14.jpg)
PHYSICS EXAMPLE 3
![Page 15: Lesson 6 – Multiplying a Vector by a Scalar](https://reader036.vdocuments.net/reader036/viewer/2022062302/5681642c550346895dd5eeb7/html5/thumbnails/15.jpg)
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.