About This Chapter
Below is a sample breakdown of the Vectors in Physics chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||Vector types||Definitions and descriptions of various types of vectors, including force vectors and velocity vectors|
|Tuesday||Basic vector operations||Vector addition and subtraction, resultants and scalar multiplication|
|Wednesday||Basis vectors||Finding standard basis vectors|
|Thursday||Vector components||Performing vector operations with components, finding magnitude and direction of vectors components|
|Friday||Vector resolution, dot product and cross products||The process of splitting a vector; calculating the dot product of vectors; finding cross product of two vectors.|
1. What Is a Vector? - Definition & Types
After watching this lesson, you will be able to explain what vectors are in physics, give some examples of vectors and have a basic idea of how they can be manipulated mathematically. A short quiz will follow.
2. Vector Addition (Geometric Approach): Explanation & Examples
After watching this video, you will be able to explain why we might need to add two vectors and, given magnitudes and directions, add two vectors using geometric methods. A short quiz will follow.
3. Resultants of Vectors: Definition & Calculation
After watching this video, you will be able to explain what a resultant of a vector is and use mathematics to calculate the resultant of two vectors. A short quiz will follow.
4. Scalar Multiplication of Vectors: Definition & Calculations
After watching this video, you will be able to explain what scalar multiplication is and complete basic calculations involving the scalar multiplication of vectors. A short quiz will follow.
5. Vector Subtraction (Geometric): Formula & Examples
After watching this lesson, you will be able to subtract vectors geometrically and give examples of how that process might be used in physics. A short quiz will follow.
6. Standard Basis Vectors: Definition & Examples
After watching this lesson, you will be able to explain what standard basis vectors (otherwise known as unit vectors) are and how they are useful. A short quiz will follow.
7. How to Do Vector Operations Using Components
After watching this lesson, you will understand how we analyze physics involving two-dimensional vectors and be able to split a vector at an angle into a vertical and horizontal component. A short quiz will follow.
8. Vector Components: The Magnitude of a Vector
After watching this lesson, you will be able to explain what the magnitude of a vector refers to, and how to calculate it when given the components of a vector. A short quiz will follow.
9. Vector Components: The Direction of a Vector
After watching this lesson, you will be able to explain what is meant by the direction of a vector and calculate the direction of a vector when given the x and y components. A short quiz will follow.
10. Vector Resolution: Definition & Practice Problems
After watching this lesson, you will be able to explain what vector resolution is and solve problems involving vector resolution. A short quiz will follow.
11. The Dot Product and Vectors: Definition & Formula
After watching this lesson, you will be able to explain what a dot product is, how it is different from a cross product, and use equations to calculate dot products. A short quiz will follow.
12. Finding The Cross Product of Two Vectors
After watching this lesson, you will be able to explain what a cross product is and calculate the cross product of two vectors. A short quiz will follow.
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