Spacial Descriptions and Transformations - Worked Example

This video looks at a worked example for forming a 4x4 transformation matrix using rotation matrices and position vectors. This transformation matrix is then used to find the position of a point relative to different frames.
Intro music:
Jenny's Theme by Audionautix is licensed under a Creative Commons Attribution license (creativecommons.org/licenses/...)
Artist: audionautix.com/
Subject material obtained from:
John. J. Craig, Introduction to Robotics (Mechanics and Control). Pearson Education International.
Hope this video helps.
If you have any questions, please leave a comment, and don't forget to subscribe.
Thanks everyone

[@abdulmanankhalid8994]

You have done a great job

[@kikkawavint]

This video could have helped me in my final year project, if it was posted three years before, THANK YOU ANYWAY

[@amj.d3426]

Fantastic teaching

[@viktor7879]

Great videos mate

[@socb5642]

Thank you sir .... this helped alot

[@Tobi-jl1hc]

The hero we need

[@panostzakis6925]

You are ammazing...thanks for your time

[@zebedmaina1899]

Not all heroes wear capes.. Thanks

[@MALEKBAFADHLAKE]

Tq sir.very beneficial videos

[@merajhossainpromit6152]

thank u so much

[@last-zura8899]

Thank you

[@daniasaleem7695]

thank you

[@abdulmanankhalid8994]

Sir Thank You

[@jafarchaseb6284]

Thanks

[@utkarshdwivedi3348]

Thank u sir

[@nilsirrah7672]

the best

[@bevitngaytho5319]

Very good. I am Vietnamese.

[@AshikurRahman-wm7di]

The rotation must be in RzRxRy. Not as you mentioned.

[@harshalpatil671]

Yes exactly , that I'm searching for in the comment .😃

[@maryamsabbahjawad3257]

Could you told me how to know that ? depends on what?

[@maryamsabbahjawad3257]

​@@harshalpatil671Could you told me how to know that ? depends on what?

[@emaus8344]

I have put this situation in 3D software and got result 14,65 -5,625 -1,567

[@AlexMacabu]

But what would be the point's orientation in World Frame? Does anyone ever calculate that?

[@kausikkar2587]

Sir, shouldn't we multiply Rab with Identity matrix?

[@AshikurRahman-wm7di]

Multiplying with identity will give you the same result. So, ignore multiplying with identity.

[@dishantkatdare7819]

shouldn't we multiply in the order Rz Rx Ry

[@ziauddin9222]

I was thinking that too

[@ziauddin9222]

Is he doing it correct or not?

[@alsarya3934]

Bro in multiplication order does not matter. 10*5=5*10

[@river56]

@@alsarya3934 for matrix multiplication it does matter… I think Rz Rx Ry too

[@Balakrish-cl9kq]

It will be nice if he explains more in regards to this, since the rotations are defined fixed frame. This can also be checked with every axis of frame B rotated 90 or 180, since the elements of the matrix will be 0 or 1. And then just finding the matrix again,by seeing whether axis xb,yb,zb is aligned to axis xa,ya,za, by filling 0 or 1.

[@Joshua-kr5fq]

does it matter if you use radian or degree values?

[@AshikurRahman-wm7di]

Does the value of trigonometric function depend on angle unit?? Whatever you write sin30 or sin(π/6) both equal to 0.5.

[@sabbirhossain4955]

Arif sir koilo math gula dekhte

[@DenRoedeMogM]

Why not show how to multiply the rotation matrices..? how did you get to the result 0.967..? 5:07

[@utsavbansal7449]

Do that in calculator

[@DenRoedeMogM]

And what Numbers do i put om the calculator..?

[@utsavbansal7449]

@@DenRoedeMogM use scientific calculator, it's even allowed in our exam halls

[@DenRoedeMogM]

@@utsavbansal7449 dude, I have never learned the match in school, that’s why I would like to know what to multiply and how.. but you just keep trolling me and telling me to use a calculator.. :-(

[@utsavbansal7449]

@@DenRoedeMogM trolling you was never my intention, sry if u felt bad, you can see online videos searching matrix multiplication, you'll get a lot of videos, happy learning 😊

[@davidche8896]

the solution in this video is actually wrong. the three R matrices were multiplied in the wrong order.

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[@Joshua-kr5fq]

Thanks