Vectors Assignment

Project description
Guidelines for submitted work
• This is an academic assignment so it must be referenced. Include a Reference list at the end of
your assignment. You must cite all the different authors from different sources (books, journals,
electronic). Please do not use Wikipedia or other such non-refereed sources.
• Start each new question on a new page.
• Conduct a spell check yourself and ensure you have a critical friend read and comment on your
English usage, grammar, punctuation and other technical issues.
• Please use Microsoft Word Equation to express any mathematical formulas needed, and
Microsoft Word to write the assignment.
• You may use graphical or drawing software to show your graphs.
• Please use size 12 font for any written work.
• Leave a wide margin on the left for feedback comments from your teachers.

1201BPS  –    MATHS 1A –    Assignment 1  –   Due week 5
TOTAL 100 MARKS
This    is    the    first    of    four    assignments    that    you    will    get    in    this    course.    It    is    worth    3%    of    your

final    mark.
THIS ASSIGNMENT IS DUE  BY 11 PM ON FRIDAY the 25
TH
OFJULY, WEEK 5 OF
SEMESTER. THI S ASSIGNMENT MUST BE SUBMITTED ELECTRONICALLY TO QIBT
THROUGH TURNITIN. MORE INSTRUCTIONS WILL BE GIVEN TO YOU IN CLASS.

Read    these    instructions    carefully
•   Extensions    must    be    requested    in    advance    but    will    only    be    given    in    the    most    unusual    situations.
La te    submissions    with    no    extension    will    be    subject    to    QIBT’s    late    penalty    policy.
•   The    presentation    of    your    answers    matters    a    lot     –      you    must    explain    what    you    are    doing    and    you
must    use    proper    mathematical    notation    (as    used    in    texts,    notes    etc).        Just    writing    an    answer
without    working    is    not    enough.
•   You    must    hand    in    a    signed    assignment    cover    page    to    your    Lecturer/Tutor    during    the    first    lesson
after    the    assignment.

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Guidelines     for    submitted    work
•   This    is    an    academic    assignment    so    it    must    be    referenced.    Include    a     Reference    list    at    the

end    of
your    assignment.    You    must    cite    all    the    different    authors    from    different    sources    (books,    journals,
electronic).    Please     do    not    use    Wikipedia      or    other    such    non- refereed    sources.
•   Start    each    new    question    on    a    new    page.

•   Conduct    a    spell    check    yourself    and    ensure    you    have    a    critical    friend    read    and    comment    on    your
English    usage,    grammar,    punctuation    and    other    technical    issues.
•   Please    use    Microsoft    Word    Equation    to    express    any    mathematical    formulas    needed,    and
Microsoft    Word    to    write    the    assignment .
•   You    may    use    graphical    or    drawing    software    to    show    your    graphs.
•   Please    use    size    12    font     for    any    written    work.
•   Leave    a    wide    margin    on    the    left    for    feedback    comments     from    your    teachers .

What is plagiarism

Plagiarism    is    when    you    copy    someone    else’s    answers.        Even    if    you    make    slight    changes    in    symbols    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    write    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.    This    policy    can    be    found    at     http://policy.qibt.qld.edu.au/

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Vectors Assignment
QUESTION 1 – 40 marks
You  work  for Oz-Vector  Airline   and  you  have  been  asked  to  set  accurate  routings
between  airports   around  Australian  cities.  You r  job  is  to   design  at  least  three  routes
between a minimum of  three major cities, validating their accuracy   using mathematics.
You will be producing a vector map,  with these ro utes ,  and all the relevant information
about these routes.  Your vector map must include:
• Starting point and destination for each vector  on an accurate scale
• Each vector (shown as arrows) on the path
• Scale and orientation shown correctly on your map
Your calculations must include:
• Calculated total distan ce to each location (scalar)
• Calculated total displacement (vector) with its magnitude and direction.
You will have the opportunity to discuss  your drawing s  and   calculations  with   your tuto r
before   final submission  during consultations .  You may use googl e maps and other web
pages to help you with this assignment, however, you must reference all the resources
used  in text, and you must list it   in your reference page, a s per any project or academic
assignment.

QUESTION 2 – 10 marks

Besides adding vectors, we can also subtract vectors by two graphical techniques.
Explain and demonstrate how subtraction can be done using these graphical
techniques. You will need to produce a vector map, with your chosen vectors, and all
the relevant information about the sub traction methods.

QUESTION 3 – 20 marks

The picture above shows a person pushing a sled and also pulling a sled at the same
angle, friction is the same regardless of whether he is pushing or pulling the sled. Model
this  situation with different  forces and angles of your choice , show all your working on
your assignment. According to your calculations, since  the angle is the same when he is
pushing and when he is  pulling, when will the sled move faster?  That  is,  which of these
will get them to their destination sooner?

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QUESTION 4 – 30 marks

(a)  Explain  in  detail  the  different  ways  to  multiply  two  vectors ,  the  names  and  the
symbols used. Use  your own examples, that is, make up three vectors   and name them,
for example  a,  b and  c,  to highlight how these operations  are done.
(b)  Find  one  physical  application  where  the  cross  product  is  used.  Explain   these
application with your own examples
(c )  With  two  of  your  own  examples  from  part  (a)  explain   and  show  why   the  cross
product between two vectors is anti -commutative .

Performance Objectives:
Know:
Represent a vector both algebraically and graphically
Perform operations with vectors, along with algebraic and graphic
representations

Do:
Analyze and describe the geometry of vectors
Perform mathematical operations with vectors
Use vectors to solve real -world problems
Browse and search the Internet
Create electronic documents using graphics
Cite sources within documents appropriately

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