Unit Vectors

Dealing with unit vectors.

[@manuboker1]

Wonderful lecturer that makes physics fun and understandable !!!

[@hinamohamed6987]

your videos have been helping me alot thank you

[@yigitcan824]

I've learned many things from this video more than my unv. professors' 2 hours lesson. You've been really helpful.

[@abomarsyr103]

excellent description but a bit short still needs more

[@MathCuriousity]

Gotta say khan academy linear algebra unit vector video was actually better as it explains that unit vectors are NOT just direction like this guy confusingly says; instead a unit vector can be thought of as I which is along the x axis and j which is along the y axis. So we are scaling up the unit vectors to get the final vector!

[@puretwr899]

Thank you for explanation

[@NishC300]

uh sir.....isn't that wrong because the magnitude of them will be greater than 1? To find that unit vector they need to do (5i+4j)/sqrt(41)

[@neutrinos1727]

I think what he means here is representing a vector in terms of its unit vectors, the "i" indicates the x positive direction and "j" indicates the y positive direction

[@aftabmohd8783]

No there magnituse will always be one because they are found by dividing their respective vectors by the their magnitudes.

[@muhanedahmed3636]

Result [5/6.Root 3, 5/6 . Root3]

[@cookiechip8490]

When you realize he’s writing backwards 👀

[@faa.m]

You made me realize this at the beginning of the video 🥲

[@aftabmohd8783]

Where was he writing.

[@bsdiceman]

She studied

[@achievernirmal]

stop criticising guys!!!!

[@yoprofmatt]

achiever, Don't worry, I can take it. Thanks for the comment, and keep up with the physics! You might also like my new website: www.universityphysics.education Cheers, Dr. A

[@Cpt.Rommel]

you got serious sound problems in each video, i recommend you to consider your video edit programs.

[@tammanapudibhuvanakumar2492]

Speak louder sir explaination is good

[@yoprofmatt]

Tammanapudi Bhuvana Kumar, Better audio on my new website: www.universityphysics.education Cheers, Dr. A

[@qualquan]

When one denotes the components as Ax and Ay then direction of each component is explicit. Then the notations i and j are redundant. So either denote components as Ax or Ai and Ay or Aj but not the overkill of Axi and Ayj.

[@tonytheshovel]

No, because A_x, A_y, and A_z define the magnitudes of each component. These component magnitudes are different and should therefore be written differently. You need the sub x,y, and z to properly define this vector

[@carultch]

Hamilton coined a concept called quaternions, that he had desired to replace vectors in general. It didn't catch on outside of higher levels of rotation modeling, but parts of the notation did. This is where our concept of unit vectors comes from, and why we mark them as i, j, and k, of all possible trios of letters we could've selected. Some books mark x, y, and z with hats, for consistency with the axes names. He built this concept based on extending the concept of imaginary numbers such that all three directions would be represented by i, j, and k, that each have properties in common with i as in the imaginary unit. Hence why i and its alphabet neighbors are chosen. They are called quaternions because 4 parameters define them: the real number magnitude, and three numbers that add up as perpendicular vectors to unit magnitude to indicate the direction.

[@crownityz]

9 years before and still understandable. Greate Teaching sir 🗣️🔥