Instructional Video8:54
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3Blue1Brown

#### Cross Products | Essence of Linear Algebra, Chapter 8

For Students 11th - Higher Ed
Equate the area of a parallelogram with the magnitude. The 11th installment in a 15-video series introduces the concept of the cross product of two vectors. The presentation makes the geometric connection between the cross product, the...
Lesson Plan
Curated OER

#### Gyroscopes in Motion

For Teachers 10th - 12th
Physics stars will enjoy learning about the conservation of energy as you demonstrate gyroscope precession. The lecture is broken into five subtopics: cross product, rotating vectors, angular momentum, rotating rigid bodies, and torque...
Worksheet
Curated OER

#### Applications of the Cross Product and Dot Product

For Students 9th - 12th
In this cross product and dot product worksheet, students solve 2 problems including finding the magnetic field between 2 poles of a magnet and determining angles between vectors in a word problem about television watching given a scale...
Instructional Video9:59
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3Blue1Brown

#### Linear Combinations, Span, and Basis Vectors | Essence of Linear Algebra, Chapter 2

For Students 11th - Higher Ed Standards
What does it mean for two vectors to be linearly independent? The resource presents the basics of basis vectors and linear combinations. The third video in the 15-part series provides a definition of linear independence in terms of the...
Worksheet
Curated OER

#### Math 212: Dot Product and Cross Product

For Students Higher Ed
For this dot product worksheet, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page worksheet contains three problems.
Worksheet
Curated OER

#### Alignment of a Solar Panel: Dot and Cross Products

For Students Higher Ed
In this dot and cross product worksheet, students identify vector points under given conditions determine vertical support and determine angles of an object. This two-page worksheet contains two problems.
Worksheet
Curated OER

#### Math 224 Spring 2004: Dot Product

For Students Higher Ed
In this dot product worksheet, students consider two vectors and compute the dot product and cross product of the given vectors. This two-page worksheet contains four problems.
eBook
Rice University

#### Calculus Volume 3

For Students 11th - Higher Ed
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
Lesson Plan
Curated OER

#### Worksheet 8 - Vectors

For Teachers Higher Ed
In this vector worksheet, students find the area of a parallelogram spanned by vectors, they give the geometric and algebraic definitions of the dot product and describe a sequence of vectors. This one-page worksheet contains six...
Instructional Video10:04
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3Blue1Brown

#### Matrix Multiplication as Composition | Essence of Linear Algebra, Chapter 4

For Students 11th - Higher Ed Standards
Take a different view at matrix multiplication. Based on vector transformations, the video presents matrix multiplication as the result of the composition of multiple linear transformations. The presentation explains the numerical...
Instructional Video14:12
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3Blue1Brown

#### Dot Products and Duality | Essence of Linear Algebra, Chapter 7

For Students 11th - Higher Ed Standards
The dot product of two matrices is a number on the number line, its transformation. The resource presents the dot product as a linear transformation from two dimensions to one dimension. The video uses the numerical and graphical...
Lesson Plan
Teach Engineering

#### May the Magnetic Force Be with You

For Teachers 10th - 12th Standards
Class members use mathematics in order to better understand magnetic forces and their interaction on charged particles. After a demonstration of the interaction between a magnet and an electron beam using a CRT computer monitor, learners...
Worksheet
Curated OER

#### Worksheet 25- Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.
Worksheet
Curated OER

#### Multivariable Calculus: Euclidean Geometry

For Students Higher Ed
In this Euclidean geometry activity, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page activity contains definitions, examples and explanations of how to do the...
Instructional Video12:09
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3Blue1Brown

#### Inverse Matrices, Column Space and Null Space | Essence of Linear Algebra, Chapter 6

For Students 11th - Higher Ed Standards
Determine the geometric representation to the solution of a system of linear equations. The resource shows how scholars can represent a system of linear equations as a linear transformation. The video discusses using an inverse matrix to...
Instructional Video10:59
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3Blue1Brown

#### Linear Transformations and Matrices | Essence of Linear Algebra, Chapter 3

For Students 11th - Higher Ed Standards
Are all transformations of the plane linear transformations? The video provides examples of transformations of the plane and provides the definition of linear transformations. The resource begins the discussion of using matrix...
Handout
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Curated OER

#### Math Handbook: Trigonometry

For Students 9th - 12th Standards
You'll be spinning in unit circles once you read through this jumbo-sized resource of everything you need to know about trigonometry. Each page has color-coded examples with explicit directions that detail the problems and formulas.
Instructional Video10:03
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3Blue1Brown

#### The Determinant | Essence of Linear Algebra, Chapter 5

For Students 11th - Higher Ed Standards
Determine how much a linear transformation alters area. The seventh segment in a series of 15 makes the connection between the determinant and the scale factor of areas during a linear transformation. The video goes on to explain the...
PPT
Bowels Physics

#### Magnetic Fields and Forces

For Teachers 9th - 12th
Every knows that opposites attract! Here's a presentation that uses this background knowledge to explain magnetic fields and forces. The resource also explains the shape of magnetic fields and how to determine the direction of forces.
PPT
Bowels Physics

#### Torque: Rotational Statics and Rotational Dynamics

For Students 9th - 12th
Scholars examine the application of torque in relation to motion by viewing a comprehensive presentation that explains the basic concepts related to torque and rotational motion. The lesson ends with examples showing how to calculate...
Worksheet
Curated OER

#### Worksheet 22

For Students 11th - Higher Ed
In this math worksheet, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.