Subject

Math

Number System

7th Grade - 12th Grade

[Vector Manipulation - Unit Vectors - Mathematical Operations]

[Vector Manipulation - Unit Vectors - Mathematical Operations]

Interactive Video

[Vector Manipulation - Unit Vectors - Mathematical Operations]

7th Grade - 12th Grade

Mathematics

Focus on the foundational elements of vector operations, such as unit vectors, vector addition, and scalar multiplication. Develop skills in visualizing vectors and representing them using unit vector notation, which enhances mathematical proficiency in interpreting and manipulating two-dimensional vectors.

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9th Grade - 12th Grade

Vector Calculations - Dot and Cross Products - Vector Analysis

Vector Calculations - Dot and Cross Products - Vector Analysis

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Vector Calculations - Dot and Cross Products - Vector Analysis

9th Grade - 12th Grade

Physics, Mathematics

Explore the principles of vector calculations, focusing on operations such as the dot product and cross product in vector analysis. Master key concepts like angle determination and geometric properties associated with these operations to enhance analytical skills in three-dimensional space.

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9th Grade - 12th Grade

Vector Operations - Cross Product Calculation - Determinant Method

Vector Operations - Cross Product Calculation - Determinant Method

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Vector Operations - Cross Product Calculation - Determinant Method

9th Grade - 12th Grade

Physics, Mathematics

Explore vector operations with a focus on calculating the cross product using the determinant method. Understand the process of performing vector operations, including defining vectors and computing cross products. Gain the skills to verify results through various methods, ensuring a comprehensive understanding of these techniques.

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9th Grade - 12th Grade

Vector Calculations - Multiplied Interactions - Vector Analysis

Vector Calculations - Multiplied Interactions - Vector Analysis

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Vector Calculations - Multiplied Interactions - Vector Analysis

9th Grade - 12th Grade

Science, Mathematics, Physics

Exploration of vector operations and properties, including essential concepts such as dot products, cross products, and orthogonality, enhances the ability to analyze vector relationships. Learners will interpret mathematical representations and apply practical applications in vector mathematics.

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9th Grade - 10th Grade

Vector Arithmetic - Operations & Properties - Mathematics Fundamentals

Vector Arithmetic - Operations & Properties - Mathematics Fundamentals

Interactive Video

Vector Arithmetic - Operations & Properties - Mathematics Fundamentals

9th Grade - 10th Grade

Mathematics

Focus on fundamental vector operations, including addition and subtraction, and their properties such as commutative and associative laws. Learners will develop skills to analyze vector relationships and utilize geometric visualizations, enhancing comprehension of basic mathematical vector concepts.

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9th Grade - 12th Grade

Understanding Vector Mathematics - Vector Operations - Physics & Math

Understanding Vector Mathematics - Vector Operations - Physics & Math

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Understanding Vector Mathematics - Vector Operations - Physics & Math

9th Grade - 12th Grade

Physics, Mathematics

Master essential vector operations, including unit vector identification, magnitude calculations, and the application of dot and cross products. Develop the skills necessary to effectively apply these concepts in solving complex physics and mathematics problems, enhancing both analytical and problem-solving capabilities.

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9th Grade - 12th Grade

Vector Calculations - Dot Product and Magnitude - Vector Mathematics

Vector Calculations - Dot Product and Magnitude - Vector Mathematics

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Vector Calculations - Dot Product and Magnitude - Vector Mathematics

9th Grade - 12th Grade

Mathematics

Explore vector calculations with a focus on the dot product and magnitude properties. Gain a deeper understanding of vector operations to efficiently calculate angles and interact with complex vector components.

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7th Grade - 10th Grade

Understanding Vector Operations - Scalar Multiplication and Directional Properties

Understanding Vector Operations - Scalar Multiplication and Directional Properties

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Understanding Vector Operations - Scalar Multiplication and Directional Properties

7th Grade - 10th Grade

Mathematics

Explore fundamental vector operations with a focus on scalar multiplication and the resulting directional changes. Gain the ability to manipulate vectors both algebraically and graphically, achieving accuracy and a deeper understanding of vector dynamics.

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8th Grade - 10th Grade

Vector Mathematics - Operations & Resultant - Introduction to Vector Analysis

Vector Mathematics - Operations & Resultant - Introduction to Vector Analysis

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Vector Mathematics - Operations & Resultant - Introduction to Vector Analysis

8th Grade - 10th Grade

Mathematics

Master the fundamental operations of vectors, including scalar multiplication, addition, and subtraction, and analyze resultant vectors on a coordinate plane. Gain proficiency in vector mathematics to effectively solve complex problems and visualize concepts.

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8th Grade - 12th Grade

Vector Quantities - Scalar Multiplication - Mathematical Operations

Vector Quantities - Scalar Multiplication - Mathematical Operations

Interactive Video

Vector Quantities - Scalar Multiplication - Mathematical Operations

8th Grade - 12th Grade

Physics, Mathematics

Examine the fundamental aspects of vectors by focusing on their characteristics, operations, and the effects of scalar multiplication. Understand how scalar multiplication alters vector properties and apply these concepts to solve practical mathematical problems. Develop proficiency in working with vectors through a clear understanding of their manipulation and application in various contexts.

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9th Grade - 10th Grade

Vector Operations - Scalar Multiplication and Division - Physics Kinematics

Vector Operations - Scalar Multiplication and Division - Physics Kinematics

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Vector Operations - Scalar Multiplication and Division - Physics Kinematics

9th Grade - 10th Grade

Physics

Analyze scalar and vector quantities with a focus on vector operations like multiplication and division by scalars. Acquire skills to assess changes in vector magnitude and direction, deepening the understanding of motion in physical contexts.

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9th Grade - 12th Grade

Vector Calculations - Linear Combinations & Components - Vector Properties

Vector Calculations - Linear Combinations & Components - Vector Properties

Interactive Video

Vector Calculations - Linear Combinations & Components - Vector Properties

9th Grade - 12th Grade

Physics, Mathematics

Explore the operations and properties of vectors, focusing on linear combinations and component calculations using unit vectors i, j, and k. Develop skills in vector manipulation, including combining vectors, calculating magnitudes, and visualizing directions in multi-dimensional space.

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9th Grade - 12th Grade

Transformation Exploration - Linear Combinations and Vector Operations

Transformation Exploration - Linear Combinations and Vector Operations

Interactive Video

Transformation Exploration - Linear Combinations and Vector Operations

9th Grade - 12th Grade

Mathematics

Explore the foundational concepts of linear transformations and vector operations, illustrating how to express one vector as a linear combination of other vectors. Understand the function of augmented matrices in solving such combinations. Gain a comprehensive grasp of transformation properties and develop the ability to skillfully manipulate vector expressions.

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9th Grade - 12th Grade

Vector Operations - Linear Combinations of Vectors - Multidimensional Analysis

Vector Operations - Linear Combinations of Vectors - Multidimensional Analysis

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Vector Operations - Linear Combinations of Vectors - Multidimensional Analysis

9th Grade - 12th Grade

Mathematics, Physics

Explore vector operations with an emphasis on expressing vectors as linear combinations of others. Gain insights into vector addition and scalar multiplication, along with graphical representations, leading to a solid understanding of vector configurations and their applications.

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9th Grade - 12th Grade

Vector Calculations - Operations & Properties - 3D Coordinate Systems

Vector Calculations - Operations & Properties - 3D Coordinate Systems

Interactive Video

Vector Calculations - Operations & Properties - 3D Coordinate Systems

9th Grade - 12th Grade

Mathematics, Science

Learners will explore the fundamental operations and properties of vectors in 3D coordinate systems. They will gain insights into vector calculations, determine magnitudes, and understand vector notations, enhancing their spatial reasoning and analytical skills.

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9th Grade - 12th Grade

Vector Algebra - Cross Product - Triangle Area Calculation

Vector Algebra - Cross Product - Triangle Area Calculation

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Vector Algebra - Cross Product - Triangle Area Calculation

9th Grade - 12th Grade

Mathematics, Physics

Focus on using vector algebra to compute the area of a triangle through cross product calculations. Understand vector formation, carry out cross products, and use these operations to ascertain the triangle's area, leading to proficiency in essential vector operations.

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8th Grade - 10th Grade

Vector Analysis - Scalar Multiplication - Vector Components

Vector Analysis - Scalar Multiplication - Vector Components

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Vector Analysis - Scalar Multiplication - Vector Components

8th Grade - 10th Grade

Mathematics

Investigate vector components and examine how scalar multiplication affects their representation and properties. Learners will develop skills in calculating and graphically illustrating scaled vectors, thereby enhancing spatial reasoning and mathematical proficiency.

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9th Grade - 12th Grade

Vector Operations - Methods & Applications - Mathematics

Vector Operations - Methods & Applications - Mathematics

Interactive Video

Vector Operations - Methods & Applications - Mathematics

9th Grade - 12th Grade

Mathematics

Explore the intricacies of vector operations by mastering the tail-to-tip and parallelogram methods. Develop a comprehensive understanding of the properties of resultant vectors. Gain proficiency in adding and subtracting vectors as well as calculating the dot product. Enhance mathematical skills and apply these concepts effectively to solve complex physics problems.

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9th Grade - 12th Grade

Vector Addition - Force Vectors - Physics

Vector Addition - Force Vectors - Physics

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Vector Addition - Force Vectors - Physics

9th Grade - 12th Grade

Mathematics

Explore the world of physics by mastering vector addition and force vectors. Gain skills in determining resultant forces and applying graphical methods to solve complex physics problems.

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9th Grade - 12th Grade

Vector Arithmetic - Operations & Visualization - Mathematical Concepts

Vector Arithmetic - Operations & Visualization - Mathematical Concepts

Interactive Video

Vector Arithmetic - Operations & Visualization - Mathematical Concepts

9th Grade - 12th Grade

Physics, Mathematics

Engage in exploring vector arithmetic through tasks such as calculating vector magnitudes and resultant vectors in 3D space. Master key concepts of vector operations and visualization, enhancing the ability to perform and understand complex mathematical tasks.

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