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: Applications

Overview

Continuing in our study of vectors, this lesson involves some fairly advanced vector algebra and analysis. Vectors are used frequently in engineering, physics, and calculus applications. Consider this lesson a basic introduction to the methods of analysis, but please know that you will get lots more practice in future courses regarding these very useful concepts. At this level, focus on becoming familiar with applying and analyzing vectors.

Objectives

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

• 8.4.1 Find a vector from point P to point Q
• 8.4.2 Find a vector normal to a given line
• 8.4.3 Find a vector that lies on a given line
• 8.4.4 Find the unit vector in the direction of a given vector
• 8.4.5 Solve physics applications involving forces, resultants, and inclined planes
• 8.4.6 Solve navigation applications involving headings, true course, air speed, and ground speed

Terminology

Terms you should be able to define: force, resultant, inclined plane, inclined angle, equilibrant, heading, true course, air speed, ground speed

Mini-Lectures and Examples

rev. 2020-11-05