Microsoft Word Equation

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You may use graphical or drawing software to show your graphs.

•

Please use size 12 font

for any writt

en work.

•

Leave a

wide

margin on the left for

feedback

comments

from your teachers

.

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ATTACH A

QIBT

COVER SHEET

ON THE FRONT OF

YOUR ASSIGNMENT.

What is plagiarism

Plagiarism is when you copy someone else’s answers. Even if you make slight changes in sy

mbols it is

still plagiarism. Plagiarism is cheating and is wrong. If it is detected all the people whose answers are

extremely similar will get zero marks for the questio

ns involved.

It is a good idea to discuss problems with other people.

It is often

helpful

to work in study groups, b

ut

you must wr

ite up your answers by yourself and your examples must be unique. Any similarities

identified wit

h TURNITIN will be investigated and penalties will be applied in line with QIBT academic

integrity policy. Thi

s policy can be found at

http://policy.qibt.qld.edu.au/

Vectors

Assignment

QUESTION 1

–

30 marks

As a student at QIBT, you travel trough the various Griffith University campuses most

days. Your lecturer g

ets lost easily around the campus, your job is to

provide him/her

with

a vector map to

at least three

locations in one of the Griffith University campuses.

You may find the campuses maps at

http://www.griffith.edu.au/about

–

griffith/campuses/campus

–

maps

Your vector map must include: • Starting point and destination for each vector • Each

vector (shown as arrows) on the path • Scale and orientation • Calculated total distance

to each location

(scalar) • Calculated total displacement (vector) with its magnitude and

directio

n.

You will provide an accurate scale drawing of the various

vectors

along with the

mathematical calculations required.

You will have the opportunity to

discuss

your

drawing

s

and

calculations

with

your

tuto

r before

final submission

during consultations

.

You may use google maps and other web pages to help you with this assignment,

however, you must reference all the resource

s used in your reference page, a

s per any

project or academic assignment.

QUESTION 2

–

10 marks

What is the purpose of adding vector

s both graphically and numerically?

List several scalar quantities. Explain the differences between scalar and vector

quantities.

Besides adding vectors, we can also subtract vectors by our two graphical techniques.

Explain and demonstrate how

subtraction

can be done using both

graphical

techniques.

QUESTION 3

–

10 marks

Three family portraits of equal weight (15 Newtons) are hung by wires at different

angles, see pictures below. Explain which wires of which portrait are less likely to break

and why. Give

a full mathematical reasoning behind your explanation. Saying this or

that portrait will not get you any marks.

QUESTION 4

–

10 marks

Consider three vectors that form a triangle when place

d

head to tail.

Make up your own examples

of vectors in thi

s triangle form

and calculate the following:

i

) What is the sum of these three vectors?

ii

) If these vectors represent forces on an object, what does this imply about the object?

QUESTION 5

–

40 marks

(a)

Explain

in detail

the different ways to multip

ly two vectors

, the names and the

symbols used

. Use

your own

examples

, that is, make up three vectors for example

a

,

b

and

c

,

to

highlight how the

s

e are

done

.

(b) With

two

of

your own e

xamples from part (a) explain why

the cross product

between

two vectors

is

anti

–

com

mutative

.

(d)

With your own examples from part (a) show that

a

×

(

b

×

c

)=

b

(

a

??

c

)

–

c

(

a

??

b

)

(e) What is the triple scalar product

, how do you calculate it and what are

its geometric

applications? Use your own examples

from part (a)

to explain

it

.