In this video, we dive into the essential operations with vectors – perfect for students learning about vector algebra or preparing for exams like IB, IGCSE, or A-levels. We cover vector addition, subtraction, scalar multiplication (positive and negative), and linear combinations – both in component form and through graphical illustrations.
By the end of the lesson, you'll be able to confidently perform and visualize each operation. Great for visual learners and anyone who wants to really understand how vectors work in 2D space!
⏱️ Chapters / TimeStamps :
00:00 – Introduction to operations with vectors
00:50 – Addition with vectors in component form
01:58 – Drawing the sum of two vectors
03:30 – Subtraction with vectors in component form
04:29 – Drawing subtraction with vectors using the opposite vector
06:25 – Multiplying a vector by a positive number (component form)
07:04 – Drawing a vector multiplied by a positive number
09:07 – Multiplying a vector by a negative number (component form)
09:38 – Drawing a vector multiplied by a negative number
11:02 – Linear combination of 2 vectors (component form)
11:55 – Drawing a linear combination of 2 vectors
13:32 – Linear combination of 3 vectors (component form)
15:22 – Drawing a linear combination of 3 vectors
17:28 – Conclusion
🎯 Whether you're a student or teacher, this video breaks down the concepts step-by-step to make vector operations easy to follow and apply.
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