Subject

Math

Number System

Vectors

Vector Operations

  1. Library
  2. Passages
  3. Math
  4. Number System
  5. Vectors
  6. Vector Operations
  7. Adding & Subtracting Vectors
  8. Subtracting Vectors Component-wise (including Determining Magnitude And Direction Of The Resultant Vector)

Subtracting Vectors Component-wise (including Determining Magnitude And Direction Of The Resultant Vector) Passages

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9th Grade - 12th Grade

Vector Addition - Parallelogram Method - Physics

Vector Addition - Parallelogram Method - Physics

Comprehension

Vector Addition - Parallelogram Method - Physics

9th Grade - 12th Grade

Physics

Explore vector addition using the Parallelogram Method to find the resultant of multiple forces. Gain proficiency in visualizing and calculating vector sums, enhancing problem-solving skills in physics.

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10th Grade - 11th Grade

Vector Comprehension - Components & Operations - Fundamental Physics Concepts

Vector Comprehension - Components & Operations - Fundamental Physics Concepts

Comprehension

Vector Comprehension - Components & Operations - Fundamental Physics Concepts

10th Grade - 11th Grade

Physics

Essential concepts of vectors and their operations play a critical role in understanding physical phenomena. Learners will explore how to determine vector components, perform vector addition, and effectively apply these skills to solve complex physics problems.

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11th Grade

Vector Analysis - Components & Applications - Introductory Physics Concepts

Vector Analysis - Components & Applications - Introductory Physics Concepts

Comprehension

Vector Analysis - Components & Applications - Introductory Physics Concepts

11th Grade

Physics

Develop a foundational understanding of vector quantities by exploring their representation, addition, and components. Acquire the ability to distinguish between vector and scalar quantities, and comprehend the practical applications of vector addition in real-world scenarios.

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12th Grade

Scalar and Vector Quantities - Properties and Calculations - Physics Essentials

Scalar and Vector Quantities - Properties and Calculations - Physics Essentials

Comprehension

Scalar and Vector Quantities - Properties and Calculations - Physics Essentials

12th Grade

Science

Explore the essentials of scalar and vector quantities, focusing on their properties, mathematical representations, and applications. This content enhances understanding of physical quantity representation and manipulation in physics, fostering skills crucial for solving real-world problems in vectors and dynamics.

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9th Grade - 12th Grade

Measuring Techniques - Electrical Circuit Analysis - Series and Parallel Circuits

Measuring Techniques - Electrical Circuit Analysis - Series and Parallel Circuits

Comprehension

Measuring Techniques - Electrical Circuit Analysis - Series and Parallel Circuits

9th Grade - 12th Grade

Science

Focus on understanding the fundamental concepts of electrical circuits, emphasizing series and parallel configurations. Gain skills in effectively measuring current and voltage and comprehend the influence of circuit design on resistance and current flow.

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11th Grade

Electrical Engineering Fundamentals - Parallel Circuits Analysis - Circuit Theory Concepts

Electrical Engineering Fundamentals - Parallel Circuits Analysis - Circuit Theory Concepts

Comprehension

Electrical Engineering Fundamentals - Parallel Circuits Analysis - Circuit Theory Concepts

11th Grade

Science

Understand the principles of parallel circuits where components share an equal voltage, and the total current is the sum of currents through individual branches. Learn how to calculate equivalent resistance while gaining insights into current and voltage behavior in parallel configurations.

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9th Grade

Understanding and Manipulating Monomials - Introduction to Identifying Monomials - Polynomial Operations

Understanding and Manipulating Monomials - Introduction to Identifying Monomials - Polynomial Operations

Comprehension

Understanding and Manipulating Monomials - Introduction to Identifying Monomials - Polynomial Operations

9th Grade

Mathematics

Explore foundational algebraic concepts by identifying and working with monomials. Learn the rules for adding and subtracting monomials to enhance algebraic manipulation skills. Develop the ability to recognize valid monomials and perform essential polynomial operations.

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9th Grade

Understanding and Applying Vector Graphics - Digital Design Basics

Understanding and Applying Vector Graphics - Digital Design Basics

Comprehension

Understanding and Applying Vector Graphics - Digital Design Basics

9th Grade

Computers

Explore the fundamental concepts of vector graphics, focusing on their creation, applications, and advantages such as scalability and file size efficiency. Gain insight into the practical uses of vector graphics, enabling confident application in design projects and recognizing their limitations compared to raster images.

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12th Grade

Scalar and Vector Quantities - Fundamentals of Physics - Introduction to Mechanics

Scalar and Vector Quantities - Fundamentals of Physics - Introduction to Mechanics

Comprehension

Scalar and Vector Quantities - Fundamentals of Physics - Introduction to Mechanics

12th Grade

Science

Explore the essential principles of scalar and vector quantities, focusing on their distinct characteristics and differences in physics. Upon completion, learners will effectively differentiate between scalar and vector quantities, perform vector addition, and calculate vector components using trigonometric functions.

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12th Grade

Factoring and Solving Equations - Algebra Concepts - Mathematics

Factoring and Solving Equations - Algebra Concepts - Mathematics

Comprehension

Factoring and Solving Equations - Algebra Concepts - Mathematics

12th Grade

Mathematics

Focuses on solving algebraic equations through factorization and exploration of various polynomial and multivariate equations. Develops skills in isolating variables and applying algebraic principles to find solutions, enhancing problem-solving capabilities.

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12th Grade

Power Analysis - Types of Power - AC Circuits

Power Analysis - Types of Power - AC Circuits

Comprehension

Power Analysis - Types of Power - AC Circuits

12th Grade

Science

Examine the various types of power, including True, Reactive, and Apparent Power, essential for mastering AC circuits. Develop the capability to distinguish between these power types and calculate Apparent Power using the power triangle.

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9th Grade - 12th Grade

Comprehensive Analysis - Supply Chain Management vs. Logistics

Comprehensive Analysis - Supply Chain Management vs. Logistics

Comprehension

Comprehensive Analysis - Supply Chain Management vs. Logistics

9th Grade - 12th Grade

Business

Explore the distinct roles and functions of supply chain management and logistics, highlighting their contributions to business efficiency and competitive advantage. Gain understanding of the key differences and strategic importance of supply chain management while gaining insights into logistics operations and their impact on delivering value to consumers.

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12th Grade

AC Circuit Analysis - Resistance and Inductance - Electric Circuit Principles

AC Circuit Analysis - Resistance and Inductance - Electric Circuit Principles

Comprehension

AC Circuit Analysis - Resistance and Inductance - Electric Circuit Principles

12th Grade

Science

Explore the principles of alternating current (AC) circuits with emphasis on the roles of resistance and inductance. Enhance understanding of electric circuit behaviors by applying laws such as Ohm's Law and examining the impact of variables like frequency on circuit components.

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11th Grade

Polarization - Light Behavior - Electromagnetic Waves

Polarization - Light Behavior - Electromagnetic Waves

Comprehension

Polarization - Light Behavior - Electromagnetic Waves

11th Grade

Physics

Explore the concept of light polarization, focusing on the behavior of electromagnetic waves. Understand how polarization reveals light's transverse nature, examine the operation of polarizing filters, and discover practical applications of polarized light in everyday life.

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11th Grade

Kinematic Analysis - Vector Components - Two-Dimensional Motion

Kinematic Analysis - Vector Components - Two-Dimensional Motion

Comprehension

Kinematic Analysis - Vector Components - Two-Dimensional Motion

11th Grade

Physics

Focus on the fundamentals of two-dimensional kinematics emphasizing the independence of motion along the x and y axes and the decomposition of vector quantities. Develop skills in analyzing vector components and applying kinematic equations to solve complex problems involving motion in two dimensions.

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