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8/2/2019 SME3 Wks2-5 and 8

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Week 5

Term 1

2012

Theoretical Components

1. The story so far a good brief summary

https://internal.shenton.wa.edu.au/maths/West

One3CMAS/content/001_vectors/page_10.htm

2. Look at the following website on how to divide a

line segment into a ratio of k1:k2 (where k1 and

k2 are the size of the parts either side of an

internal point P.)

http://www.teacherschoice.com.au/Maths_Libra

ry/Analytical%20Geometry/AnalGeom_3.htm

3. Look at the link for the notes to divide a vector in

a given ratio.

http://www.maths.usyd.edu.au/u/MOW/vectors

/vectors-5/v-5-1.html

Dont forget to turn to the next page for external

ratios.

Applet to look at the ratio:

http://www.ies.co.jp/math/java/vector/naigaibu

n/naigaibun.html

4. Look at the link for the notes for parallel vectors.

http://www.maths.usyd.edu.au/u/MOW/vectors

/vectors-4/v-4-2.html

Practical Components

1. You may like to look at:http://www.classpad.com.au/and look at the

Advanced menu Vector basics 180 To show

you some of the Classpads capabilities with

Vectors.

2. Look at the examples in the Theoretical notes and

make sure that you understand the concepts

presented.

3. Do the SME3 Exercise on various questions in the

resource folder for week 5. Make sure you look at

Q11 and Q12 for the ratio division.

QuizOn cLc under Quizzes folder.

By the end of this week, you should be able to:

Divide Vectors into assigned ratios

Use Parallel Vectors

Consolidate your knowledge of Vector manipulation.Vectors?

Goals

Learning BriefSME3: Vectors

https://internal.shenton.wa.edu.au/maths/WestOne3CMAS/content/001_vectors/page_10.htmhttps://internal.shenton.wa.edu.au/maths/WestOne3CMAS/content/001_vectors/page_10.htmhttps://internal.shenton.wa.edu.au/maths/WestOne3CMAS/content/001_vectors/page_10.htmhttp://www.teacherschoice.com.au/Maths_Library/Analytical%20Geometry/AnalGeom_3.htmhttp://www.teacherschoice.com.au/Maths_Library/Analytical%20Geometry/AnalGeom_3.htmhttp://www.teacherschoice.com.au/Maths_Library/Analytical%20Geometry/AnalGeom_3.htmhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-5/v-5-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-5/v-5-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-5/v-5-1.htmlhttp://www.ies.co.jp/math/java/vector/naigaibun/naigaibun.htmlhttp://www.ies.co.jp/math/java/vector/naigaibun/naigaibun.htmlhttp://www.ies.co.jp/math/java/vector/naigaibun/naigaibun.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-4/v-4-2.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-4/v-4-2.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-4/v-4-2.htmlhttp://www.classpad.com.au/http://www.classpad.com.au/http://www.classpad.com.au/http://www.maths.usyd.edu.au/u/MOW/vectors/vectors-4/v-4-2.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-4/v-4-2.htmlhttp://www.ies.co.jp/math/java/vector/naigaibun/naigaibun.htmlhttp://www.ies.co.jp/math/java/vector/naigaibun/naigaibun.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-5/v-5-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-5/v-5-1.htmlhttp://www.teacherschoice.com.au/Maths_Library/Analytical%20Geometry/AnalGeom_3.htmhttp://www.teacherschoice.com.au/Maths_Library/Analytical%20Geometry/AnalGeom_3.htmhttps://internal.shenton.wa.edu.au/maths/WestOne3CMAS/content/001_vectors/page_10.htmhttps://internal.shenton.wa.edu.au/maths/WestOne3CMAS/content/001_vectors/page_10.htm

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Maths Joke:

The functions are sitting in a bar, chatting (how fast they go to zeroat infinity etc.). Suddenly, one cries "Beware! Derivation is coming!"All immediately hide themselves under the tables, only theexponential sits calmly on the chair.

The derivation comes in, sees a function and says "Hey, you don'tfear me?"

"No, I am e to x", says the exponential self-confidently."Well" replies the derivation "but who says I differentiate along x?"

Invent a question with a background story that uses the division of Vectors into a given ratio to work

out the answer.

Write down the story and the worked solution for this question.

(Kudos for external division)

ForumNext week.

8/2/2019 SME3 Wks2-5 and 8

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Week 8

Term 1

2012

Theoretical Components

Look over Ex 8.3 in the resources file This

concerns the Dot product and the angle

between two vectors.

Look at Ch9 of the Jacplus Specialist Yr 12 book

(also in the Resources folder)

Ch9E Resolution of the vectors in the parallel

and perpendicular directions

Read and study given examples

Alsohttp://www.maths.usyd.edu.au/u/MOW/vector

s/vectors-10/v-10-1.html

Vector Product Information

http://www.maths.usyd.edu.au/u/MOW/vector

s/vectors-11/v-11.html

Look at the notes in the resources folder

regarding the Vector product and Vector triple

product.

Practical Components

Ex 8.3 in the resources file This concerns the Dotproduct and the angle between two vectors. Make

sure these questions are done.

Look at Ch9 of the Jacplus Specialist Yr 12 book

(also in the Resources folder)

Ex9E Resolution of the vectors in the parallel and

perpendicular directions

Do Ex 9E selection of questions

Look at the notes in the resources folder regardingthe Vector product and Vector triple product and

complete the included exercises.

QuizOn cLc under Quizzes folder.

By the end of this week, you should be able to:

Ensure that you can work out the angle between 2 vectors

Resolve vectors in the parallel and perpendicular to a given direction

Know about the Vector product Know about the Triple productVectors

Goals

Learning BriefSME3: Vectors

http://www.maths.usyd.edu.au/u/MOW/vectors/vectors-10/v-10-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-10/v-10-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-10/v-10-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-11/v-11.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-11/v-11.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-11/v-11.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-11/v-11.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-11/v-11.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-10/v-10-1.htmlhttp://www.maths.usyd.edu.au/u/MOW/vectors/vectors-10/v-10-1.html

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This week will be revision/work time on the concepts covered this term. Come to the single line 5 class

armed with questions in preparation for the test next week.

ForumNext week.