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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

Define: vector, head and tail (of a vector), magnitude, norm, direction, scalar, scalar multiplication, vector components, horizontal component, vertical component

Supplementary Resources

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