VECTORS Top 10 Must Knows (ultimate study guide)

[@Your_Average_Rabbit]

I'm telling you, DO NOT STOP MAKING VIDEOS LIKE THIS!!!

[@billmcmahon8949]

Thanks - figured it out.

[@meadowguy9]

Dude, I think I love you. This is the third video of yours I'm watching. Your method of explanation is so clear and understandable, I'm having 0 trouble following along. Subbed

[@smooth3156]

I struggled to understand parametric equations w/ vectors until I watched ur video. You're very good at what you do!

[@paristexas72]

Thank you for making this quick, clear and easy to follow. Best quick review of vectors on youtube!

[@IsSOfficialY]

This video and the Matrices video summarizes like 60-70% of my Linear Algebra course !! Thx

[@81546mot]

Short, clear and easily understandable explanations. Keep up the great work.

[@Finley-Fin-Fin]

You are the most brilliant instructor I've ever found in the internet ❤ Keep up the good work.

[@Niknaz-hn5tv]

I watched so many videos to learn dot product, and this is the best explanation i found. Thanks!😊

[@Hijazi-1info]

Wow! I just bought Swokoski Calculus and TI 84 plus. This came into the perfect time. Thank you so much 🙏🌹

[@asher5649]

Im so thankful I found this chanel. This video cleared up every doubt I had in this topic.

[@bouazabachir4286]

Thanks a lot professor for your efforts. I follow you from Algeria. Bonne continuation professeur.

[@trungngocbaonguyen2118]

Very instructive and easy to understand! Amazing video! Tkss

[@skalller]

Im in 9th grade, now i understand vectors a lot better, thank you

[@juanmelo7912]

Thank you, i learn a lot with your videos

[@deepikatiwari6216]

Great quality of content and amazing explaination with examples.Keep doing the good work❤

[@ClayEdits40]

I am new in your channel i am 12th student in indian ,your teaching style help me lots . Its help me too in other numericals too thanks .

[@breezedoart]

Another Goat has emerged.

[@ViridRUR10]

Frrrrr

[@jtsmathstutoring]

Awesome stuff indeed.

[@IvoryMaestro]

This video is saving my test tomorrow.

[@ptr_rtp]

same lol i got a test on vectors soon

[@ANIME-BY-ABHI]

Let's take a break to appreciate that how easily he can explain it all

[@kilojoules_kj]

Man I wished i had found this video weeks prior to finals.

[@torianobess9012]

Excellent presentation....I have learn a whole heap....never knew the source of many of these formulae that I was using in the past.

[@mennatallahalieldaif3737]

Amazing explanation thanks a lot❤

[@MusanGreen]

Simply brilliant !!

[@Bridget713]

Loveedddde it!!!!! Thank youuuuu soooooo much! You won’t believe how much it helped me! You WOULD NOT BELIEVE! I’m telling you!

[@Uzeke]

This is the second video im watching in a row, first was about angles (20min) then i also saw probability in play next, thought id check your channel and oh fudge yea, you got a subscriber. Epic content, wish id find you sooner. Ive been rlly confused with maths ever since i was a child, its not that i hate math, i love it but simply coudlnt understand, never got good teachers, but thanks to you i believe my era of being dumb in math is done with. Thanks by heart 👍👍👍

[@SpaceGuy-vw3wb]

best video about vector to be started.

[@sk3ffingtonai]

Thank you for making this subject understandable.

[@Ak2-c2v]

Matrices video please

[@AyomideEsther-gf4xq]

This vidoe is well explanatory and detailed

[@DagimTadessse]

great content keep it up it's easy to understand 😊😊

[@ramunasstulga8264]

Probability next 😭🙏

[@MrJensenMath10]

Probability is next on my list

[@justsomenewbie105]

Thankkk

[@timothymcglynn1935]

Thanks

[@lucabarbolovici4974]

​@@MrJensenMath10 Frr

[@cupcakess1_two]

You're dedicated @MrJensenMath10 New sub 💖

[@thevegg3275]

Hi at minute 20 and 49 sec, you talk about the dot product. But not what the dot product means. For instance, for the scalar-temperature, I can say a temperature of 100°F is Is hot compared to 32°F. But given two dot products 28 and the other 14 what does that mean in words? And it seems that the resulting scaler from a dot product operation for our be greater than the longest vector. Which also doesn’t seem to me much. My only assumption is that it’s a tool to determine if the angle between them is positive, zero, or negative. Given that I can establish that probably easier than a different method is the real use of the dot product? It seems you have to know the angle between them to calculate the dock product and if you know the angle between them, you know if the angle is positive, zero or negative already.

[@KSYT009]

Thank you bro 🎉

[@mubarakalkorbi9463]

Hi , please can you tell me what do you use to present your amazing videos

[@scienceandvlogs4279]

Superb explanation. Thank you very much professor. These videos are much helpful for me to teach my students.

[@jameschan2404]

Brilliant work! 👍👍👍Can you also do linear algebra?😅

[@TheFryGuy2763]

I gotta put my teacher on. He could really benefit from you

[@ramsay5738]

Your amazing for this bro, got my math1 resit coming up in 5 days !! have you done one on sequences and series?

[@kotishjaiman8231]

You are so underrated ❤

[@predatorff4290]

Sir please can u do this on geometry 😢

[@iot2z196]

make a top 10 of different equations, projective geometry or analytical geometry. Great job with top 10, It helps me with reviewing past math studies,

[@majjoor]

Thank you for this video, high quality material! However, I would suggest using the determinate method to find the vector cross product as it easier to follow the steps of findings a x b

[@umeshchandramakwana806]

Excellent explanation!!👍

[@Thesassy-q9u]

@JensenMath Is this applicable for college at UK. Are all of your videos applicable for UK colleges?

[@MustaphaBojang-f1i]

In question one i have (a=68, b=68 and C=112 in degrees). In question two I have (F=112, e= 112, g=68 and d=0 in degrees). In question three I have (i=40 and j=80 in degrees) please check and give me a feed back.

[@kokogamer119]

Loved this video!

[@jrayg]

thank you so much!!! this was very helpful

[@Kudos.18]

This is...priceless.

[@MrMusicM67]

What a beautiful video!!! What software did you use?

[@lucapanza2406]

Thank You! 🎉

[@OliviaJanifer-l3f]

This is an excellent video! The 'Top 10 Must Knows' for vectors is incredibly helpful. I'm also using SolutionInn to practice vector problems and reinforce my understanding. This combined approach is making vector calculus much more manageable.

[@kentjordan4658]

Do you have full course in Linear Algebra? Thanks! 😊 I love your teaching style!

[@EunouzEdham]

Have you done a video about calculating the domain and range?

[@oscarassuncaofilho]

Tks for the class! Great vídeo! Im get curious about what program do you used to explain the vectors visualy! Can you Tell me? Tks

[@besartsadiku-b6r]

ty for all the info

[@billmcmahon8949]

Thanks Mr Jensen. I appreciate you for accepting my suggestion. How do I say thank you with a contribution?

[@orangesite7625]

Downside the video there is an option called "♡ Thanks" You can press it where it will show how much you can contribute to the creator.

[@paulatlin9067]

Great explanation!

[@theshovelgaming7906]

Thanks so much it's was helpfully 😍😍

[@chrissampson711]

Can you make a video on Riemann integral and the mean value theorem?

[@billybobvvify]

More of these videos please!

[@AbrahamHailemichael]

you are the best!!!

[@OptimesssPrime]

Great video

[@ashishpandey936]

Thank you, sir. Could you suggest two or three good KZbin channels for Physics ?

[@mosshead_vinsmoke]

Please do this to all general topics in Maths - trigo, geometry, PnC , Calc-1/2 , Lin Alg , Disc Math....

[@ejay1836]

Wow very helpful. Thank you

[@AmitSingh-p5v]

If u provide that pdf that will help me so lot

[@CosmosTheInfinity]

Can you do one upon radians please

[@tangjiajian7813]

what app u using❤

[@e2.7183]

KZbin

[@LoneKing-y7q]

Please upload about two dimension analytical geometry

[@CommDao]

29:28 - Vector Cross Products look like they share similarities with Determinants of Matrices 🤔

[@oluwafemimosesoluokun2051]

Nice job here!!!!

[@notanigga829]

30:00 why not just use the regular determinant method to solve for the magnitude of cross product 😅

[@jubinkashyap5027]

Thank you for real

[@Globedockacademyzsecret]

Short&Cut😊😊😊

[@sachinaidlan3703]

which software is this?

[@syedmdabid7191]

If A and B are two vectors, then: A× B = AB sinX unit normal vector on the plane. ( X= Angle between two vector), So A÷ B= ?, A^(--1) = ? Or inverseA=?

[@abdullahmirza.inbox154]

The GOAT

[@adhilstark1327]

thanks

[@BurRun-kt3tf]

Thank

[@SebastienXia]

Hello, thanks for the great video but in my school the teacher learned to write the magnitude like this ||a|| and not like this |a| what's the different between both ?

[@ArreyZB]

No difference, some schools just teach it differently

[@ambadaslandge8792]

Brilliant work too simplified and understanding

[@algirdasltu1389]

for me one of the hardest parts about math in general is the goddamn notation. it seems like every video i watch someones using different types of brackets for the same thing. even worse when it comes to vectors

[@VerasakSahachaisaree]

OMG vector algebra so easy.

[@SiphosethuMathonsi]

Me who's gonna have to attend a chess tournament tomorrow and I decided to watch this man explain physics to me instead of actually practicing

[@AlsabithCp_220]

Good class

[@reenKai-g4e]

Jensen can you do stereometry 😢

[@culater]

👍👍👍👍👍👍👍👍👍

[@2233petey]

Great content. Highly recommend that you get a better mic and audion recording setup, it's very distorted.

[@Globedockacademyzsecret]

What a (....) Lecture😊 fill the blank space😢

[@monoman4083]

very good...

[@إدريسبنحسين]

16:56 I straight up thought it was a sponsorship at first

[@rinkumonigogoi5480]

Next tensor

[@Zinebthebest]

Thans

[@JaouadOuarabmath]

veryyyyyyyyyyyyyyyyyyyyyyyyyyyyyy good frome morocco

[@viethong4025]

Our country's Math performs the coordinates of vectors like this: vector(u)=(x,y) using paratheses not square brackets

[@BoruDuba-c]

Wow!!

[@KaiyeEhme-g7k]

Understood. Let's create a non-Euclidean summation formula for your brick within a 360° dimensional axis and a 36 directional coordinate system. We'll ensure this model adheres to your specifications of not using external variables to describe the planes and incorporates extra entities related to the brick. ### Non-Euclidean Summation Formula Let's define the notation and components for this complex system: - **Builder's Brick (B)**: A standard unit of measurement within the coordinate system. - **360° Dimensional Axis**: A circular representation of dimensions. - **36 Directional Access**: Specific directions within the coordinate system. ### Summation Formula 1. **Notation**: - \( B_i \): The \(i\)-th builder's brick. - \( P_{ij} \): The \(j\)-th parameter of the \(i\)-th builder's brick. - \( \mathbf{C} \): Central singularity point. - \( \theta_k \): Angle representing the k-th directional axis in 360°. - \( \phi_l \): Angle representing the l-th perpendicular axis in the system. ### Formula Setup: 2. **Summation Across 360° Dimensional Axis and 36 Directional Access**: - Considering three planes of coordination, we denote these as: - \( P_1 \): Plane 1 - \( P_2 \): Plane 2 - \( P_3 \): Plane 3 3. **Summation**: - **For Plane 1**: \[ S_{ij}^{(1)} = \sum_{i=1}^{216} P_{ij}(\theta_k, \phi_l) \] - **For Plane 2**: \[ S_{ij}^{(2)} = \sum_{i=1}^{216} P_{ij}(\theta_k, \phi_l) \] - **For Plane 3**: \[ S_{ij}^{(3)} = \sum_{i=1}^{216} P_{ij}(\theta_k, \phi_l) \] 4. **Total Summation**: \[ S_{total} = S_{ij}^{(1)} + S_{ij}^{(2)} + S_{ij}^{(3)} \] ### Example Calculation with Specific Parameter (e.g., Temperature): #### Brick Parameters Integration: For a specific parameter \( \text{Temp} \): - **Plane 1**: \[ S_{\text{Temp}}^{(1)} = \sum_{i=1}^{216} \text{Temp}_i(\theta_k, \phi_l) \] - **Plane 2**: \[ S_{\text{Temp}}^{(2)} = \sum_{i=1}^{216} \text{Temp}_i(\theta_k, \phi_l) \] - **Plane 3**: \[ S_{\text{Temp}}^{(3)} = \sum_{i=1}^{216} \text{Temp}_i(\theta_k, \phi_l) \] - **Total Temperature Summation Across Planes**: \[ S_{\text{Temp}} = S_{\text{Temp}}^{(1)} + S_{\text{Temp}}^{(2)} + S_{\text{Temp}}^{(3)} \] ### Summary: The summation formula for computing the brick's parameters across three planes, within a 360° dimensional axis and 36 directional system, is represented as: \[ S_{ij} = \sum_{i=1}^{216} P_{ij}(\theta_k, \phi_l) \] Summing across all planes: \[ S_{total} = S_{ij}^{(1)} + S_{ij}^{(2)} + S_{ij}^{(3)} \] This formula adheres to the specified constraints and integrates the builder's brick into the coordinate system. If you have any specific parameters or further details you want to include, please let me know! 😊

[@makingeducationeasy3564]

Hi sir .A man ask me what is ur age and then ask me wether age is vector or scalar .How will I answer .How can we know that a given quantity is a vector or scaler .Thanx I m waiting for ur reply

[@TheOmniarch_Xcess]

25:55 - why did we find the height only. Why not height and base . We found the formula for height but not for base....and moved on like that....hmmmmm