MIchael Driesen
Mrs. Rozell
Math 10H
17 December 2011
Vectors
Math is everywhere. No matter which way you look at it, it’s there. It is especially present in science. Most people don’t notice it, they have to look closer to find out what it is really made of. A component in math that is very prominent in science is the vector. What is a vector? A vector is a geometric object that has both a magnitude and a direction. A good example of a vector is wind. 30 MPH north. It has both magnitude,(in this case speed) and direction. Vectors have specific properties that make them very useful in real life applications. Through the use of these special objects, many advancements in the fields of math and science are available. Representations

Vectors can sometimes be hidden behind basic objects. They are usually represented with an arrow on top of its starting point and terminal point, as shown here: The most common form of vector is the bound vector. All that means is that the starting point of the vector is the origin, or (0,0). The bound vector goes from the origin to it’s terminal point, which in this case can be (3,4). An easy way to write this is A = (3,4), where A is the vector. On a graph, it looks like this:

That applies for two-dimensional vectors. Three dimensional vectors can be represented that way also. In a 3 dimensional vector, its terminal point has coordinates in three axis. These points can be represented by the letters i, j, and k. The letter i is for the x axis, j for the y axis, and k for the z axis. An example of a 3 dimensional vector is written as: A = 6i+3j+4k. It can also be denoted as A = (6,3,4). Where (6,3,4) is the terminal point. Two vectors are equal if their coordinates are equal, so if another vector, say B, had the terminal point (6,3,4), and if both vectors are bound vectors, they would be equal. Aside from direction, a vector has one other part, which is magnitude. Magnitude is denoted by the original vector...

...Sciences
ECE / ICE / MexE Department
ECE 352 VECTOR ANALYSIS
DEL OPERATOR
GROUP 3 Andaya, Rizalyn Ramos, Maria Issa P.
∇
Del is a symbol used in mathematics, in particular, in vector calculus, as a vector differential operator, usually represented by the nabla symbol ∇. Del may denote the gradient (locally steepest slope), the divergence of a vector field, or the curl (rotation) of a vector field. The...

...HL Vectors Notes
1.
Vector or Scalar
Many physical quantities such as area, length, mass and temperature are completely described once the magnitude of the quantity is given. Such quantities are called “scalars.” Other quantities possess the properties of magnitude and direction. A quantity of this kind is called a “vector” quantity. Winds are usually described by giving their speed and direction; say 20 km/h north east. The wind speed and...

...each of the following vectors in terms of and
(a)
(b)
(c)
(Total 4 marks)
2. The vectors , are unit vectors along the x-axis and y-axis respectively.
The vectors = – + and = 3 + 5 are given.
(a) Find + 2 in terms of and .
A vector has the same direction as + 2 , and has a magnitude of 26.
(b) Find in terms of and .
(Total 4 marks)
3. The circle shown has centre O and radius 6....

...Chapter 1 Vectors, Forces, and Equilibrium
1.1 Purpose
The purpose of this experiment is to give you a qualitative and quantitative feel for vectors and forces in equilibrium.
1.2
Introduction
An object that is not accelerating falls into one of three categories: • The object is static and is subjected to a number of diﬀerent forces which cancel each other out. • The object is static and is not being subjected to any forces. (This is unlikely since all...

...09/14
PHET 2. Vector Addition
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Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
Learning Goals
• Explain vector representations in their...

...Research paper about vector organisms such as ticks and mosquitoes and ways to remove them.
Vector Organisms and the Diseases They Carry
Vector organisms are parasites that transmit various diseases. Two vector organisms are ticks and mosquitoes. These two vector organisms transmit many well-known diseases. Through most of this essay, I will be explaining these two different organisms and the diseases that they carry....

...
Abstract
The experiment was about the resolution of vector quantities using different methods or techniques. Among those are the Parallelogram, Polygon, and the Analytical or Component methods. Using each method, it was found out that Component method is the most accurate as its approach is purely theoretical, that is, all other physical factors are neglected leaving only the appropriate ones to be calculated. In addition, properties of these quantities such as...