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Interactive
CK-12 Foundation

Two-Dimensional Vectors: River Ferry and Current Vectors

For Students 11th - Higher Ed Standards
Fight against the current. Pupils explore the resulting path when they are crossing a river while being pushed downstream by the current. Using vector notation, learners express the speed and direction of a ferry. They finish by...
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Interactive
CK-12 Foundation

Vector Projection

For Students 11th - Higher Ed
Two words summarize the interactive: vector projector. An easy-to-use resource lets users investigate vector projections on the coordinate plane. Given the components of two vectors, they determine the projection of one vector onto the...
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Interactive
CK-12 Foundation

Translation of Vectors and Slope: Identical Vectors

For Students 11th - Higher Ed Standards
Translate vectors to find equivalent ones. An interactive shows 10 randomly displayed vectors. Pupils grab the vectors and move them to group them with similar vectors in magnitude and direction. Scholars find the groups of vectors that...
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Interactive
CK-12 Foundation

Vector Subtraction

For Students 11th - Higher Ed Standards
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
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Interactive
CK-12 Foundation

Vector Addition

For Students 11th - Higher Ed Standards
View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...
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Interactive
CK-12 Foundation

Translation of Vectors and Slope: Rearranging a Classroom

For Students 11th - Higher Ed Standards
Find out if vectors are equal in the classroom. Pupils use the interactive to create vectors showing the movements boys perform in rearranging classroom furniture. The scholars determine which boy moved furniture the farthest, or if they...
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Interactive
CK-12 Foundation

Multiplying Matrices by a Scalar: Column Vectors

For Students 10th - 12th Standards
Make connections between vectors and matrices through multiplication. Scholars use the interactive to view the effect of multiplying a matrix by a scalar. The interactive displays the resulting matrix and its corresponding column vectors...
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Interactive
CK-12 Foundation

Vector Multiplied by a Scalar: Boat Race

For Students 11th - Higher Ed Standards
Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish. 
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Worksheet
Curated OER

Review of Vectors

For Students 10th - 12th
In this physics worksheet, students complete 50 multiple choice questions on vector addition. They calculate displacement and resultant vectors.
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Interactive
CK-12 Foundation

Vector Sum and Difference: The Country of Dreams

For Students 11th - Higher Ed Standards
Find your way around using vectors. Scholars use an interactive to learn about vector addition. They answer a set of questions about modeling a route on a map using vectors.
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Interactive
CK-12 Foundation

Vector Projection: Hitting a Baseball

For Students 11th - Higher Ed
Hit a home run with a resource that is all fun and games. Learners apply an interactive to determine the horizontal component of the distance a baseball travels. They must consider vector projections for this task.
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Interactive
CK-12 Foundation

Matrix Multiplication: Vectors

For Students 10th - 12th Standards
Visualize matrix multiplication on the coordinate plane. Pupils use the interactive to create a matrix multiplication problem using vectors. The scholars see the resulting product of the matrices as a vector.
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Interactive
CK-12 Foundation

Operations with Vectors: GPS Device

For Students 10th - 12th Standards
Determine the distance between two hikers using vectors. Pupils use an interactive to develop the formula to find the distance between two points knowing their relationship to a third point. Learners use the formula to calculate the...
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Interactive
CK-12 Foundation

Unit Vectors and Components: Bow and Arrow

For Students 9th - Higher Ed Standards
Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...
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Worksheet
Curated OER

PhyzJob:New Year's Resolutions

For Students 10th - 12th
In this vectors worksheet, students draw vectors on three polar graphs and convert the polar components to rectangular components. They then draw the vector on a rectangular graph to complete the worksheet.
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Interactive
CK-12 Foundation

Directed Line Segments: Dog Park

For Students 11th - Higher Ed Standards
Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.
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Interactive
CK-12 Foundation

Portrait Gallery

For Students 9th - 12th
An interactive lesson explores the effect of force angles on resulting forces. Learners adjust angles of strings supporting hanging portraits and watch the effects on the resultant force. Vector diagrams provide a visual representation...
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Interactive
CK-12 Foundation

Vectors as Directed Line Segments: Directed Line Segment

For Students 9th - 12th Standards
Direct your class' attention to directed line segments. The interactive resource allows pupils to create segments with specific endpoints. Scholars plot the initial and terminal points to determine the direction and magnitude of the...