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...

...*
* 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....

...easel painting ocean views like 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...

...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...

...Acceleration Worksheet. Name: _________________________
Date: ______________
14.2 Acceleration
Acceleration is the rate of change in the speed of an object. To determine the rate of acceleration, you use the formula below. The units for acceleration are meters per second per second or m/s2.
A positive value for acceleration shows speeding up, and negative value for acceleration shows slowing down. Slowing down is also called deceleration.
The acceleration formula can be...

...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...

...you move your career and academic goals?
Understanding the importance of my career interest and competencies helps me to move toward my career and academic goals by indicating what my weaknesses are. By knowing exactly which skills that I need to work on to be successful in my future career it gives me the opportunity to find ways to improve on them. By understanding the importance of the SMART criteria my goals will be set in a way that I can attain my goals in a timely...

...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...

...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...

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