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Microsoft Word Equation • 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 . • 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 .

Microsoft Word Equation

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
.

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
.

 

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