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CK-12 Foundation
Ck 12: Analysis: Two Dimensional Vectors
[Free Registration/Login may be required to access all resource tools.] Introduction to vector notation in two dimensions
Science Education Resource Center at Carleton College
Serc: Exploring Acceleration Through Vectors
The goal of this activity is to get students to think about what is happening when velocity and acceleration vectors point in different directions. The pictures, sentences, and cars used allow the students to picture each situation in...
Physics Aviary
Physics Aviary: Resultant Vector
A program that will randomly generate three sequential motions. You must determine the resultant vector's magnitude and direction.
Khan Academy
Khan Academy: 2 D Projectile Motion: Vectors and Comparing Multiple Trajectories
Practice problems dealing with displacement, velocity, and acceleration vectors for horizontally launched projectiles. In these practice problems, students will compare initial speed and time in the air for multiple projectiles.
Wolfram Research
Wolfram Math World: Math World: Vector Addition
Defines vector addition and gives the algebraic notation for adding vectors. Includes a graphic and links to additional information.
Wolfram Research
Wolfram Math World: Vector Difference
This site defines vector difference. Includes a formula and links to related topics.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 8 [Pdf]
Students use a figure to sketch a new vector that combines the tail of one vector with the head of the other vector. The practice problem is available in PDF format.
Wolfram Research
Wolfram Math World: Zero Vector
Definition of a zero vector. Includes a graphic and links to related items.
Other
Can We Multiply 3 Vectors Together?
Addresses four possible cases of multiplying three vectors together and explains whether it is possible or not.
Other
Personal Site: Adding Vectors
This personal site provides a diagram and description of the addition of vectors. The triangle law of addition and the parallelogram law are given.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 9 [Pdf]
The practice exercise asks students to sketch a new vector that combines two given vectors. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 10 [Pdf]
The practice exercise asks students to sketch a new vector that combines two given vectors. The problem is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 12 [Pdf]
Learners sketch a graph of the specified vector by combining two given vectors. The practice problem is available in PDF format.
Ducksters
Ducksters: Physics for Kids: Scalars and Vectors
Kids learn about scalars and vectors in the science of physics. Scalars are magnitude only while vectors have magnitude and direction. Examples and differences and how to draw a vector.
Ducksters
Ducksters: Physics for Kids: Basic Vector Math
Kids learn about basic vector math in the science of physics. How to add vectors using the head-to-tail method and the Pythagorean theorem. Example problems and the commutative and associative laws.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 5 [Pdf]
Learners use a figure to sketch graphs of different vectors. The resource consists of an enlarged printable version of a vector available in PDF format.
Wolfram Research
Wolfram Math World: Vector Space Projection
This webpage discusses projections in vector space. The material is rather advanced. A clear understanding of Linear Algebra, the study of linear equations and their transformations, is required to understand this information.
Other
Finding the Magnitude or Length of a Vector
From the Cambridge University Press book, "Maths: A Student's Survival Guide," this page describes how to find the magnitude of a vector.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 1 [Pdf]
Students use a given figure to sketch a graph of the vector. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 2 [Pdf]
Students use a given figure to sketch a graph of the vector. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 3 [Pdf]
The example explores sketching the graph of a vector. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Sketching Vectors 4 [Pdf]
The example explores sketching the graph of a vector. The practice exercise is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Direction and Vectors 1 [Pdf]
Students are given the level curve of a function and are asked to sketch the vector showing the greatest rate of increase of the function. The practice exercise is available in PDF format.
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