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.
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/
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?
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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