Find the magnitude and direction of the vectors – 3i + 4j, -5i + 12j, -10j, i – j

The vector XY has magnitude 10 units and is inclined at 300 to the x-axis. Express XY as a column vector

The vector PQ has magnitude 5 units and is inclined at 1500 to the x-axis. Express PQ as a column vector

Find numbers m and n such that m 35 + n 21= 49

If a = 38+ λ and b = λ3 where a and b are parallel, find λ.

The position vectors of points A and B are 2-1 and 32 respectively. Find the unit vector in the direction of BA.

If a = 3i + j and b = -i + 3j, show that a and b are perpendicular vectors.

If 3λand 2λ2-1 are perpendicular, find λ.

ABCD is a parallelogram with vertices A(-2, -1), B(4, 1), C(3, 5) and D(p, q) (a) Find the value of p and the value of q.
(b) Find the angle between AB and AD.

P and Q are points (3, 5) and (m, 7) respectively and O is the origin. Given that cos∠ POQ= 334 find the value of m.
The position vectors of points A, B and C relative to the origin O are 2i + 3j, 10i + 2j and λ(-i + 5j) respectively. (a) Obtain an expression in terms of λ for (i) AC (ii) AC (b) Given that AB = 2AC show that 104λ2- 104λ-13=0.

(c) Evaluate the scalar product AB. AC and find the value of λ such that AB. AC=0.

a = 3i + 5j and b = -4i + 2j. Find the angle between a and b.

If a8 is parallel to 24 find the value of a.

Find a vector of magnitude 35 units and parallel to 2i – j.

If the point P has position vector -5i + 3j and Q is a point such that PQ = 7i – j, find the position vector of Q.

The three points A, B and C have position vectors i – j, 5i – 3j and 11i – 6j respectively. Show that A, B and C are collinear.

If the angle between the vectors a = λ2 and b = 31 is 450, find λ.

If a = xy and b = 21 write down a relationship between x and y for each of the following (a) a is of magnitude 5 units
(b)a is perpendicular to b
(c)a is...

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* Scavenger Hunt Worksheet
Assignment Background:
The point of this assignment is to get you to search and become familiar with the GCU Learning Management System (LMS) LoudCloud and the GCU web site. These two sites have many resources to help you be a successful student.
Assignment Instructions:
Answer the following questions that require you to search the LoudCloud classroom and GCU web site. Feel free to search around the sites until you find the things you are looking for.
LoudCloud Questions
1. After logging into the LoudCloud classroom, list the tabs and other items on the screen when you first enter a course in LoudCloud.
2. From the course home page in LoudCloud, click on the “Tasks” tab and then click on “Forums”. Make notes on the various forums and their purposes.
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3. Find the Student Success Center under the Resources Tab. Click on this link. List some of the services provided to students at this link.
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4. Inside the Student Success Center, click on the Writing Center link. Click on LoudCloud Courses. What writing style is required for 100- and 200-level courses at GCU?
5. Inside the Student Success Center, click on the Support Services link. List the services available at this link.
6. Inside the Student Success Center, click on the Succeed at GCU link. Click on the GCU Tutorials link at the bottom of the page. What tutorials are available for students at this link?
7. Click...

...those displayed. He would commonly use such works as the basis for larger compositions painted in the studio. Cuprien earned a national reputation for his paintings of the iridescent effects of sunlight and moonlight on calm seas. He was a founding member of the Laguna Beach Art Association, serving as president from 1921 to 1922. He bequeathed his entire estate to the LBAA, and the works of art, including these examples, are now part of the museum’s permanent collection.
.
THEODORE SVENNINGSEN
RESUME
Education:
M.F.A. Otis College of Art and Design, Los Angeles, CA
M.A. Philosophy, University of California at Los Angeles.
Advanced to Doctoral Candidacy: Dissertation, The Concept of Beauty in Art Theory
B.A. Philosophy, University of California at Los Angeles Graduated cum laude
Exhibitions:
2011 Truth and Self Deception, Offramp Gallery, Pasadena
2010 ArtZone, Offramp Gallery, Pasadena, CA
The Judith Hoffberg Memorial Mail Art Exhibition, Armory Center for the Arts, Pasadena,
CA
2003 An Exhibition of Anti- Theory Paintings , Transport Gallery, Los Angeles, CA
Open Haus, Haus Gallery, Pasadena, CA
Electric, Transport Gallery, Los Angeles, CA
2002 XX marks the spot, Laguna Art Museum, Laguna Beach,
2001 The Art Truck, SCAT Projects , Los Angeles, CA
Dreams and Reality, The Platt Gallery, Univesity of Judaism, Bel Air, CA
An Art Odyssey 2001, Laguna Art Museum, Laguna Beach, CA
2000...

...Calculus in 3D Geometry, Vectors, and Multivariate Calculus Zbigniew H. Nitecki
Tufts University
August 19, 2012
ii
This work is subject to copyright. It may be copied for non-commercial purposes.
Preface
The present volume is a sequel to my earlier book, Calculus Deconstructed: A Second Course in First-Year Calculus, published by the Mathematical Association in 2009. I have used versions of this pair of books for severel years in the Honors Calculus course at Tufts, a two-semester “boot camp” intended for mathematically inclined freshmen who have been exposed to calculus in high school. The ﬁrst semester of this course, using the earlier book, covers single-variable calculus, while the second semester, using the present text, covers multivariate calculus. However, the present book is designed to be able to stand alone as a text in multivariate calculus. The treatment here continues the basic stance of its predecessor, combining hands-on drill in techniques of calculation with rigorous mathematical arguments. However, there are some diﬀerences in emphasis. On one hand, the present text assumes a higher level of mathematical sophistication on the part of the reader: there is no explicit guidance in the rhetorical practices of mathematicians, and the theorem-proof format is followed a little more brusquely than before. On the other hand, the material being developed here is unfamiliar territory, for the intended audience, to a far...

...Redox Reactions
Name(s):
Date:
Lab Section:
DATA
1. Record your observations for the halogens and halides from Procedure 1 or attach your table to this worksheet when you turn it in to your instructor.
Table 1: Halogens and halide ions were mixed with cyclohexane and the following reactions were observed.
Halogen Solutions
Observed Reaction
Cl + 0.2M NaI+clyclohexane
Purple layer ontop of an orange liquid
Cl+0.2M NaBr+cyclohexane
Orange layer ontop of a yellow liquid
Br+0.2M NaI+clyclohexane
Dark purple layer ontop of a red liquid
Br+0.2M NaCl+clyclohexane
Yellow layer ontop of a light yellow liquid
I2+0.2M NaBr+cyclohexane
Dark layer of yellow ontop of a light yellow liquid
I2+0.2M NaCl+clyclohexane
Clear solidy liquid ontop of a clear liquid
2. Record your observations for the metals and metal ions from Procedure 2 or attach your table to this worksheet when you turn it in to your instructor.
Table 1: Halogens were mixed with cyclohexane and the following reactions were observed.
Halogen Solutions
Observed Reaction
I2+cyclohexane
Solid formed, pink color
Br+cyclohexane
Yellow layer of liquid on top of a white clear liquid
Cl+cyclohexane
Light layer color liquid with gas bubbles
3. Record your observations for the permanganate and sulfite ions from Procedure 3 or attach your table to this worksheet when you turn it in to your instructor.
QUESTIONS
1. For Procedure 1, rank the halogens by...

...Associate Program Material
Cell Energy Worksheet
Answer the following questions:
Cellular respiration:
• What is cellular respiration and what are its three stages?
A living version of internal combustion-is the main way that chemical energy is harvested from food and converted to ATP energy, it is also called an aerobic process, which is just another way of saying that it requires oxygen. So cellular respiration is defined as the aerobic harvesting of chemical energy from organic fuel molecules. The three stages are; glycolysis, the citric acid cycle, and the electron transport.
• What is the role of glycolysis? Include the reactants and the products. Where does it occur?
The word itself means “splitting sugar”. That is what happens during glycolysis, a six-carbon glucose molecule is broken in half, forming two three-carbon molecules it requires two ATP molecules per glucose. The three-carbon molecules then donate high-energy electrons to NAD+ the electron carrier, forming NADH. In addition to NADH, glycolysis also makes four ATP molecules directly when enzymes transfer phosphate.
• What is the role of the citric acid cycle? Include the reactants and the products. Where does it occur?
This cycle also called the “Krebs cycle”, completes the breakdown of glucose all the way to CO2, one of the waste products off cellular respiration. The enzymes for the citric acid cycle are dissolved in the fluid...

...AP English: Literature and Composition Name: Larissa Maggard
Major Works Data Sheet
Major Works Data Sheet Page 2
Major Works Data Sheet Page 3
Characters
Name
Role in the story
Significance
Adjectives
Marlow
Kurtz
general manager
Kurtz's Intended
Marlow's aunt
Russian trader
African mistress of Kurtz
protagonist, narrator of interior story
both antagonist and, in a way, protagonist
chief agent of Company in Africa
Kurtz's fiancée in Brussels
aunt of Marlow, secures Marlow's job with Company
same at inner station, disciple of Kurtz
see left
symbolizes both traditional European and a more open, reflective, honest, frank outlook than thereby presented
•symbolizes both greatest evil and only reality in Africa, a core of the "heart of darkness" that is, itself, a hollow shell
•a largely paradoxical entitiy of all extremes which is a foil for itself and gives reader great opportunity for examination of themes
the alternative nightmare to Kurtz, the embodiment of lesser evil shrouded in hypocrisy - in light of Kurtz's success, almost as a death shroud
symbolic of Europe as whole, shows Kurtz as nothing and everything simultaneously
symbolic of women’s...

...online (found by using the Library Databases) or in print. These articles are written by experts in a field of study and tend to longer, more in-depth then articles you find in newspapers and magazines. Scholarly articles are also supported by references to other research on the subject that it is discussing. Before being published a scholarly article is brought before a panel of experts (hence peer-reviewed) to be critiqued and assure that the quality of the research is sound.
Scholarly articles can come in all shapes and sizes depending on the subject being covered and the type of research being performed. For example, a scholarly article by an expert in the Humanities will write what is called a literature review, wherein they discuss a work of art (book, painting, etc …) and their research will be based off of what previous experts have written about that piece. However, a scholarly article by an expert in a Science field may write about an experiment they have performed, and discuss their results and how it relates to previous research.
Despite the fact that the content and format of these articles can vary from article to article, if you continue reading, I will list five sure-fire ways to tell if the resource you are looking at is scholarly or not To determine whether what you've found is a credible or reliable source, the first thing to do is read it all..
How do these articles reflect bias on the authors’ part? If so, what is the bias? If...

...Major Works Data Sheet
Summer Reading
English II
Name: Alyssa Torres
Title of Book: Obasan
Author: Joy Kogawa
Date of publication: 1981 – Lester & Orpen Dennys
Genre: Fiction/ Literature/ Asian Studies
Point of View: First Person
Possible Themes: (Identify five possible themes for discussion). Theme is a central message or insight into life revealed by literary work.
1. Racism
2. Remembering vs. Ignorance
3. The Benefits of Silence
Identify external and internal conflicts: (Provide specific examples of each)
One Internal conflict in Obasan was how Naomi had a very hard time accepting her painful past.
Another internal conflict was how she finally found out, in the end, what had happened to her mother. For example: All throughout the story she was always wondering what had happened to her since she was little, ever since her mother had left to go to Japan and take care of Naomi’s grandmother. She has asked and already discussed this with her Aunt (her mother’s sister), but she always discreetly avoids the question. And then finally nearing the end of the story, she finally knows what happened to her mother.
Memorable Quotes: Select five quotes and explain the significance of each.
1. Page# 71
“..Mother removes the live chicks first, placing them in her apron . . . there is calm efficiency in her face and she does not speak. Her eyes are steady and matter-of-fact—the eyes of Japanese motherhood. They do...