Proofs  Problem 3  Vector Differentiation  Engineering Mathematics  4  Summary and Q&A
TL;DR
The video explains the proof of the third type of vector differentiation, specifically related to del log r.
Key Insights
 🧑💻 The video presents the third type of vector differentiation proof related to del log r.
 👀 It highlights the importance of solving the problem individually before watching the video for verification.
 ❣️ The proof involves differentiating log r with respect to x, y, and z.
 🤢 The equation del log r = r bar / r square is established through the differentiation steps.
 🕡 The concept of r bar, which is x i + y j + z k, is introduced in the proof.
 ❎ Taking the mod of r involves calculating the square root of the sum of squares of its components.
 🥴 The differentiation of log r with respect to x, y, and z is derived.
Transcript
Read and summarize the transcript of this video on Glasp Reader (beta).
Questions & Answers
Q: What is the main concept being discussed in the video?
The video focuses on the proof of del log r = r bar / r square using vector differentiation.
Q: How can one approach solving this problem?
It is recommended to work through the steps of differentiation independently and then watch the video for verification and understanding.
Q: What is the difference between lhs and rhs in the proof?
The lhs represents the differentiation of log r with respect to x, y, and z, while the rhs simplifies to 1 / r square times r bar.
Q: Why is it important to practice solving this problem on your own?
Practicing the problem independently will help develop a better understanding of vector differentiation and strengthen problemsolving skills.
Summary & Key Takeaways

The video discusses the proof of del log r = r bar / r square, which involves vector differentiation.

It emphasizes the steps to solve the problem and suggests practicing it on your own.

The proof involves differentiating log r with respect to x, y, and z.