Vector identities | Lecture 8 | Vector Calculus for Engineers (V1)

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Use the Kronecker delta and the Levi-Civita symbol to prove a vector identity.

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I belive that video series like these truly are the future of education (not only) in engineering. It makes it so much easier to learn if you get all the information wraped up and explained on one place and you can rewind and fast forward as many times as you need. Please keep it up and thank You!

honza

I'm so mad at myself because it's my 3rd year in university and no one taught me this notation with the Levi-civita symbol and the Kronecker delta, they make the life so much easier.

ibbgkgs

So amazing there was so doubts and mistake in my mind and a big problem in 3 identity it's very difficult to understand what I took so this vedio clear me 100%😊😊 God bless you and all the best 👍

elmikhan

Can you please make a video to prove the identity of e ijk.e ilm ..i have done it on my own...but don't know whether my method is right or not

sayanibiswas

I was taught the Kroenecker-delta stuff in undergrad courses, but not the Levi-Civita tensor. Thanks!

joyboricua

Amazing scene. Brilliant idea to screen what the professor writes on the board simultaneously. Wonderful lecture too. It was a high-quality leasure activity to listen vector calculus from you, sir. Thanks

batuhankoyuncu

A very useful lesson. Thank you very much!!

mathengineering

Why did you use the ith component and just the ith component alone? Why not ek or ej? What about these two?

bubblegum-izzu

Thank you so much. It really helped me a lot.

soon_

Awesome, thank you for the series! At 7:45, why does multiplying the first two kroneckers into ABCD contract C_m to C_j and D_n to D_k but not A_j to A_m or B_k to B_n? Or can I only choose to contract e.g. d_{jm} with exactly one of A_j or C_m and the end result is the same?

Lynkor

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