Elementary Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems Exponents & Polynomials
Intermediate Algebra
Factoring Rational Expressions Rational Equations and Applications Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
Precalculus I / College Algebra
Equations and Inequalitites Functions and Graphs Polynomial and Rational Functions Exponential and Logarithmic Functions Systems and Matrices Geometry Basics Conic Sections Sequences and Series
Precalculus II / Trigonometry
The Six Trigonometric Functions Right Triangle Trigonometry Circular Functions Graphs of Trigonometric Functions Trigonometric Identities Trigonometric Equations Oblique Triangles and the Laws Vectors Complex, Parametric, and Polar Forms
Calculus I
Limits and Continuity Derivatives Analysis of Curves Antiderivatives
Calculus II
Transcendental Functions
Geometry Physics Integration Techniques Calculus of Infinity Parametric, Polar, and Conic Curves
Calculus III

Course: Trigonometry
Topic: Vectors
Subtopic: Geometric Approach

Overview

This lesson introduces two-dimensional vectors from a geometric approach. Do lots of sketches! Try to imaging the vector operations geometrically, e.g. scalar multiplication as "stretching" or "shrinking" the vector.

Objectives

By the end of this topic you should know and be prepared to be tested on:

• 8.1.1 Understand and be able to use properly vector terminology
• 8.1.2 Perform vector operations (addition, subtraction, and scalar multiplication) geometrically
• 8.1.3 Find a vector's magnitude and direction geometrically
• 8.1.4 Decompose vectors into their vector components (horizontal and vertical components)
• 8.1.5 Use vector components to analyze and solve vector applications

Terminology

Terms you should be able to define: vector, head and tail (of a vector), magnitude, norm, direction, scalar, scalar multiplication, vector components, horizontal component, vertical component

Mini-Lectures and Examples

Supplementary Resources

Videos on a wide variety of vector topics: Vectors from OnlineMathLearning.com

rev. 2020-11-05