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game Advanced 21 lessons

3D Math for Games

Master the math behind movement. Vectors, Quaternions, Matrices, and Dot Products explained visually for game developers.

Don't fear the math. This course visualizes Linear Algebra concepts essential for 3D graphics and gameplay. You will learn to use Vectors for movement and direction, Dot Products for field-of-view detection, and Cross Products for finding perpendiculars. We demystify Quaternions for smooth rotations (no gimbal lock!) and Matrices for coordinate transformations. Essential knowledge for graphics programmers and technical artists.

✅ 100% Free & Lifetime Access
⏱️ 5-Minute Lessons (Bite-sized learning)
🚀 21-Lesson Path (Independent modules)
📱 Mobile Friendly (Learn anywhere)
Math Wizards
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Complete Course Syllabus

  • 1
    Vectors & Points
    Position, direction, normalization, and magnitude.
  • 2
    Dot Product
    Detecting facing direction and lighting calculations.
  • 3
    Cross Product
    Finding surface normals and perpendicular vectors.
  • 4
    Matrices
    Scaling, rotating, and translating via matrix multiplication.
  • 5
    Quaternions
    Understanding rotation without gimbal lock issues.

Estimated completion time: 21 lessons • Self-paced learning • Lifetime access

Career Outlook

Estimated Salary
$120k+

Career Paths

Graphics Programmer $120k-$170k
Physics Programmer $115k-$160k
Technical Artist $100k-$150k

What You Will Learn

Calculate movement and direction using 3D Vectors
Detect targets and angles using Dot and Cross Products
Perform smooth rotations using Quaternions
Transform objects between spaces using Matrices
Implement custom physics and collision logic

Skills You Will Gain

Linear Algebra Trigonometry 3D Space Physics Math Graphics Programming

Who Is This For

Graphics Programmers
Tech Artists
Physics Engine Devs

Prerequisites

Algebra
Basic Coding

3D Math for Games FAQs

Calculus?

Minimal; focus is Linear Algebra and Trig.

Hard?

Yes, but we visualize everything to help intuition.

Coding?

We implement the math formulas in code.

Required?

Yes, for any advanced 3D game development.

Need more info?
All Reork courses are 100% free, self-paced, and fully accessible on mobile devices. No prior experience is required. Read our full Platform FAQ.

Tech Stack & Tools

Unity/Unreal
Graphing Calculator
Paper
Code

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