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Worksheet
Curated OER

Applications of the Cross Product and Dot Product

For Students 9th - 12th
In this cross product and dot product worksheet, high schoolers 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...
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Lesson Plan
Curated OER

Worksheet 5 - Vectors & Physics

For Teachers Higher Ed
For this vectors worksheet, students determine the amount of work it takes to move objects, they determine if vectors are parallel or orthogonal and identify the displacement direction and the force direction. This one-page worksheet...
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Lesson Plan
Curated OER

Worksheet 4 - Geometric Mean

For Teachers Higher Ed
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
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Lesson Plan
Curated OER

MA 371 - Vector Norm: Dot Product

For Teachers 12th - Higher Ed
In this dot product worksheet, students solve 6 short answer problems. Students find unit vectors in the same direction as a given vector. Students express vectors as a linear combination of the standard basis vectors. Students find a...
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Worksheet
Curated OER

Typical Numeric Questions for Physics I - Motion

For Students 9th - 12th
Seven pages with 33 multiple choice questions about motion make up this activity. Calculations must be performed in order to choose the correct answer. Physics majors will solve for angles, displacement, acceleration, speed, and time for...
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Lesson Plan
Curated OER

5 Vector Geometry

For Teachers 10th - 12th
Students imagine the way lines look. In this vector lesson, students recognize how to find a vector equation, Cartesian equation or perpendicular distance. Students find angles between planes. Students complete an activity with...
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Lesson Plan
Curated OER

Similarity and Dilations - Discover Properties of Similar Figures

For Teachers 9th - 12th Standards
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
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Lesson Plan
Curated OER

Contact Angle. Interfacial Tension and Wetting

For Teachers 9th - 12th
Students determine the contact angle of water on different surfaces. In this physics instructional activity, students calculate their percent error using a mathematical formula. They explain the advantages of using non-wetting surface...
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Worksheet
Curated OER

Vectors

For Students 11th - Higher Ed
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and vector...
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Lesson Plan
Curated OER

Worksheet 24 Spring 1996

For Teachers 11th - Higher Ed
For this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
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Lesson Plan
Curated OER

Vectors

For Teachers 11th - 12th
Students differentiate distance and displacement. In this physics lesson, students use formulas to calculate for displacement. They draw vectors using the grid.
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Lesson Plan
Curated OER

Vectors Via the Calculator

For Teachers 8th
Eighth graders resolve vector problems without the knowledge of math.  In this vectors lesson students with poor math skills get a chance of passing the course. 
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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.
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Worksheet
Curated OER

Worksheet 2

For Students 11th - Higher Ed
In this math worksheet, learners plot the course for a ship traveling from one point to another using two Cartesian coordinates. Then they plot the vector of the course.
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Worksheet
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Worksheet 23 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, learners fill in the missing boxes while investigating the concept of vectors. They determine if two vectors are orthogonal or parallel.
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Worksheet
Curated OER

Worksheet 21

For Students 11th - Higher Ed
In this math worksheet, students draw two vectors u and v based at the same point. The vectors are considered neither parallel nor orthogonal.
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Worksheet
Curated OER

Math 212: Dot Product and Cross Product

For Students Higher Ed
In 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.
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Worksheet
Curated OER

Vector Practice Problems

For Students 9th - Higher Ed
In this vectors worksheet, learners draw scale diagrams and solve the problems using trigonometric methods. Students determine angles, speed, and components of force. This worksheet has 7 problems to solve.
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Worksheet
Curated OER

Precalculus Worksheet 8.3

For Students 10th - 12th
In the precalculus worksheet, students compute vectors and angle directions from given equations. They read and interpret information from three word problems to determine direction, speed, and the velocity vector in navigation problems.
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Worksheet
Curated OER

Linear Systems

For Students 11th - Higher Ed
In this multiplication of vectors activity, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm orthogonality.
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Lesson Plan
Curated OER

Geometry Problem Set I

For Teachers 10th - 11th
Learners prove angles congruent by use of vertical angles definition, subtraction postulate, and transitivity postulate.
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Lesson Plan
Curated OER

Crash Test Dummies

For Teachers 5th
Fifth graders are introduced to Newton's First Law of Motion. In groups, they describe the differences between balanced and unbalanced forces. They participate in experiments that demonstrate how equal and opposite forces act upon...
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Lesson Plan
Curated OER

Acceleration

For Teachers 9th - 12th
Learners develop an understanding of velocity and to distinguish it from speed. To determine the difference between a scalar and a vector quantity. To explore how acceleration is derived from velocity and time.
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Lesson Plan
Curated OER

Light My Fire!

For Teachers 9th - 12th
Students draw a diagram that shows the law of reflection. In this physics lesson, students investigate the relationship between the angle of incidence and angle of reflection. They explain how light travels as it reflects on a surface.