Algebra I / Elem. Algebra
Introduction to Algebra Linear Equations and Inequalities Functions and Graphs I Lines and thier Graphs Linear Systems
Algebra II / E&I Algebra
Exponents & Polynomials Intermediate Algebra starts here!

Factoring Rational Expressions Rational Equations and Applications
Algebra III / Inter. Algebra
Radical Expressions Nonlinear Equations and Applications Functions and Graphs II Exponential and Logarithmic Functions
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
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
Calculus IV
15.Functions of Several Variables
16.Multiple Integration
17.Vector Analysis

Course: Trigonometry
Topic: Vectors
Subtopic: Projections

Overview

Continuing in our study of vectors, this lesson focuses on vector projections in two dimensions. Vector projections are used in applications and vector analysis in engineering, physics, and calculus. They are particularly useful to anaylze higher dimensions by projecting down into lower dimensions to simplify problems.

Objectives

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

• 8.4.1 Know the formula for the scalar projection of one vector onto another and how to apply it:

• 8.4.2 Know the formula for the vector projection of one vector onto another and how to apply it:

• 8.4.3 Know the formula for the distance from a point to a line and how to apply it:

Terminology

Define: projection, scalar projection (a.k.a. component, comp), vector projection (a.k.a. proj)