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: Algebraic Approach

Overview

We previously introduced vectors geometrically. In this lesson we approach vectors algebraically, e.g. adding vectors is accomplished using their algebraic vector representations. There is more vector terminology to learn, and several theorems and formulas to apply.

Objectives

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

• 8.2.1 Use correctly both vector notations
• 8.2.2 Perform vector operations (addition, subtraction, and scalar multiplication) algebraically
• 8.2.3 Find a vector's magnitude and direction algebraically
• 8.2.4 Determine if two vectors are parallel algebraically by determining if one is a scalar multiple of the other

Terminology

Terms you should be able to define: unit vector, unit horizontal vector, unit vertical vector, basic unit vectors, orthogonal, normal vector, scalar product

Mini-Lectures and Examples

rev. 2020-11-05