FE Exam Prep 17, Vectors in 3-Space — Magnitude, Unit Vectors, Direction Cosines

This podcast is made by Ran Chen, who holds an EA license, Insurance and Securities licenses (Series 6, 63, 65), and the CFP® designation. He is passionate about opening access to high-quality exam preparation resources and helping learners prepare more effectively for professional certification exams. In this episode you will learn: - How to calculate the magnitude of a 3D vector using its i, j, and k components. - The definition of a unit vector and how to compute it by dividing a vector by its magnitude. - The direct relationship between a unit vector's components and the direction cosines (cosα, cosβ, cosγ). - The essential identity that the sum of the squares of the direction cosines equals one. - Common FE exam traps, such as sign errors, and confusing direction angles with direction cosines. For more free exam prep tools, practice questions, and AI-powered explanations, visit https://open-exam-prep.com/ or YouTube Channel: https://www.youtube.com/@Open-exam-prep