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The cube roots of 1 using De Moivre's theorem.

60 views | 10 Feb. 2021

Find the cube roots of 1

Find the cube roots of 1 using De Moivre's theorem or the cube roots of unity using De Moivre's theorem. Related to QQI mathematics 5N1833.

Theta hat

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Physics - Advance E&M: Ch 1 Math Concepts (35 of 55) Spherical Unit Vector Conversions***

60 530 views | 1 Jun. 2016


Visit http://ilectureonline.com for more math and science lectures!

In this video I will explain and find spherical unit vector conversions of r(hat)=? theta(hat)=? phi(hat)=?

Next video in this series can be seen at:

Veechi Brothers Tech

Nice video . Thank you

Mehmet BAKIR

Thank you sir for great explanation.

JustAdreamer Forgood

Thank you so much for this brilliant explanation!! I was literally struggling to derive this geometrically.

Come to geometrically, I've seen a proof where ϴ is made as the derivative of r with respect to ϴ. What is the name of that kind of proof called ?

Hannan Afridi

Thank u sir for clearing my understanding ???

Mohamed Fawal


Amandeep Luthra

Anything on Semiconductor Electronics, sir? I didn't find anything.

Venkata Rohit Punyapu

How are the sin and cosine angles being denoted to unit vectors of r, theta and phi in rectangular coordinates

BA 1

thanks very much
You are the king of physics

Mujtaba Saboor

Thank you so much!

pi π

Great ellaboration?

Muhammad Imran

sir you did not show the mathematical method of finding theta unit vector and phi unit vector?

Ripudaman Kochhar

Dear sir,
When will there be further lectures? i mean upto 55 as mentioned.?

Sudip Mandal


One For All

This is exactly what I was looking for. Thanks a ton. Could anyone tell me where i can find such simplified explanations for taking del operator and laplacian in spherical co-ordinates and converting these between sph <-> rect.

Gage Marshall

I stared at this for 90 minutes last night and I couldn't make sense of this. I watched your 9 minute video and now it makes complete sense. Thank you so much! You are much appreciated ??


sir in rectangular cordinate system the cordinates are x y z, then what is the need of putting x ,y,z in the axis of cylindrical cordinate or spherical cordinate system instead of putting their cordinates (ro,phi and z )

Chemical Sciences

Please complete the series



MdMehdi Hassan

Thank u master

Hussein Ghanim


khan khan

amazingggggggg siiirrrrrrrrrrr thank you for this brilliant explanation


thanks a lot

RaunakAsh Gulati

Amazing video Sir!!!!!

adjie REXA

i cant find the curl for a spherical coordinates video

Dogukan Özlü

Thanks a lot!


Please make new videos on this subject


I have been able to resolve so many math problems just because of the way you put complex problems in a very simple manner. Thanks professor I am really indebted to the knowledge you share. Its simply priceless.

Muhammad Ahmed Muqtadir

I've been watching your videos in 2020 and its been a great help. I dont know if you'll see this but thank you for making these videos and I hope you will finish your series.

Samaq Tube

Can you please show how to calculate r vector in diagram. No mater if you mess a little your nice drawn diagram.

Alaa Hesham

أشكرك شكرا جزيلا ...Thank you so much , this video is just well explained and the effort is so obvious


thank u sir ,good and useful content

Yhosh O

what happened to the other 20 videos!!!!? Please Mr. Van Biezen! I'll pray tonight so you can finish this series of videos.

am mess

This is video 35! where is the rest of videos 36 to 55 I cant find them. Anyone can help please.

mustafa munther

u r a super man
thank you sir ?

max maxi

many thanks :)

Juan Camilo Rodriguez Arcila

excellent explanation. thank you. (how can I make a mathematical or geometrical demonstration)

Mikåel King of the Hills

Dear professor, we are waiting for the next videos in this series. Thank you

Dennis Asamoah

you are so good. God bless u.

debendra gurung

do we have rest of the series?


Can not find the 36-55 lessons that are indicated above--could you please tell me where to find them. I would like to watch those, too. Thanks.

Anuj Sain

Great tutorial! This helped me. Thank you.

ashutosh kumawat

it took me time... but Prof with due respect YOU ROCKED!!!!

Jeang Woo Kim

that was dope.

Krish krish

Sir we are waiting for the upcoming videos in this section. Nearly a year passed. Please consider uploading few videos here soon, sir!

José António Santos Paredes

The figure really helps to understand . Thank you mate

Ethan Storme Malan

Bravo, I had no idea how to think about solving this problem for phi hat and theta hat. Thank you.

Ibrahim Berber

I dont know how to thank you for this lectures. The videos helped me in the previous courses now I'm trying it to pass Electromagnetism. I wish i could started to study earlier but even its 4:59 a.m and you have midterm I at 9:00 a.m. i wont give up :D. I feel like i got this. Gues we'll see

Rhishabh Deshpande

Thank You Sir!


My calculus text uses theata and phi in the opposite way, and rho for r.  It states that the cross product of the rho unit vector with the theata unit vector is the phi unit vector.  The results of that calculation maybe a mistake on my part, but works out to be the negative of what your calling the theata unit vector.   Like I say, I might be wrong, I am trying to learn this.

Ravi Kumar Pushpakar ,F3,43

Superbbb explanation Sir....

Urfan Aliyev

Thank you so much,Sir

Kent Dela Cruz

Very nice Sir!

031_Priyank Kumar Singh

Great video Sir. I appreciate you from India....?

Sahreen Niyaz

Thanks a lot


Hi sir, Thanks for your video. I have a concern over the " Unit vector of φ ". Please correct me if I am wrong.
φ is the azimuthal angle measured from a reference axis( Here it is X-axis ) to the orthogonal projection of position vector "r" on the reference plane ( Here it is XY-plane). If φ is zero degrees, then the component of φ lies along the X-axis and if φ is 90 degrees, then the component of φ lies along the Y-axis. This is my perception. What you explained is a bit contradicting? Can you just clarify this thing?


Easier to consider unit vectors of angles theta and phi as unit hypotenuses of right triangles. Then by assigning the correct angles within the right triangles we can easily obtain the trigonometric relations which we seek.

Mark Berardi

I was wondering if you have a video in cylindrical coordinates, with cross multiplication in using the cylindrical unit vectors?

Don't want Schadenfreude

Thank you.

Abhi Pise


shreen mohamed fath-allah

thank you so much for these lecture, you are unique. please complete your lectures in
E & M

kuldeep sharma

very good but video not looking clearly plz send other video plz


Great video, thanks!

Sou Reachsak

Hello Sir, thank for this amazing video, but I do have a question. In rectangular coordinate, vector A ⃗ = Axx ̂+Ayy ̂+Azz ̂ where Ax Ay and Az is the length of the component on x y and axis. However, In Cylinder coordinate, vector A ⃗= Aρ(uρ) ⃗ + A∅(u∅) ⃗ + Az(uz) ⃗ what does Aρ, A∅, and Az represent?

Maziar Ghorbani

Amazing. Thanks

Ganesh Ram

Sir , in advanced E&M 35th lecture is the last one or u will continue to upload till 55th lecture pls reply me sir , in mathametics calclus TOPIC , equation of lines & angles chapter also have same issue , pls clear me that u may upload in future or that subject is completed

Mehdi Far

sir please i need the others vedios ( 36-55 ) ; where could I find them

Mitz Picardevelopment

Thanks so much for these lectures (1-35). It helped me understand my lessons because of your simplified explanations as other say. I really was thankful.

sayed israr

Great Video.Only video which explains unit vector projection physically.

Theta hat

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8.1 Polar Coordinates

20 506 views | 2 Jun. 2017

MIT 8.01 Classical

MIT 8.01 Classical Mechanics, Fall 2016

View the complete course: http://ocw.mit.edu/8-01F16

Instructor: Dr. Peter Dourmashkin

License: Creative Commons BY-NC-SA

More information at http://ocw.mit.edu/terms

More courses at http://ocw.mit.edu

hussien daeeh

Thank you very much

Chang Tillend

Thank you so much... This is Very Very Helpful Who need this...

Gaurav Manwani

Nice lecture professor! But at 0:56 don't you think that the bound at 2π should be open because here 0 and 2π mean the same.

Camilo Tello


Gomana Abd elnaser

A popular explanation i hope you add the translation in Arabic later ❤️