In this video I go over a list of 8 properties of vectors in terms of addition and scalar multiplication. I also provide algebraic proofs for properties 1 and 2. The remaining properties, however, are fairly straightforward and so I only briefly go over them. Property 1, a + b = b + a, be seen from the Parallelogram Law and Property 2 (called the associative law), a + (b + c) = (a + b) + c, can be proved by repeated use of the Triangle Law.
The timestamps of key parts of the video are listed below:
- List of 8 Vector Properties: 0:00 - Proof of Property 1: 1:39 - Proof of Property 2: 4:32 - Other Properties: 8:55
This video was taken from my earlier video listed below:
In this video I go over the Baruch Plan which was a U.S. proposal to put all the world's nuclear weapons under the control of the United Nations (UN), effectively producing a one world government. This proposal was made, of course, on Donald Trump's blood moon June 14, 1946 birthday and in Manhattan. The proposal was made by the United States representative to the United Nations Atomic Energy Commission (UNAEC), Bernard Baruch, in their first ever meeting. The purpose of the proposal was to deter nuclear weapons proliferation while assisting member countries in developing nuclear energy for peaceful purposes. The Soviet Union declined the proposal, fearing a US monopoly on nuclear weapons, and countered with a proposal that involved first destroying all nuclear weapons; the US were the only country to have publicly produced nukes at the time. No agreement was made, and countries started developing their own nukes as well as starting the "Cold War".
The Baruch Plan was proposed at the UN's temporary headquarters in Hunter College, Manhattan. The UN would later move to what is now called United Nations Plaza, which also features a 2001 built Trump WORLD Tower. Truly mindboggling stuff! I also go over a 3D model of Manhattan using Google Earth to show the UN Plaza, WTC, and Statue of Liberty.
Interestingly, one year before Trump's 1946 birthday, World War 2 (WW2) had just ended, Adolph Hitler supposedly died, United Nations was formed, and the atomic bombs were supposedly dropped on Japan. And one year after Trump's birthday, the infamous Doomsday Clock is first published in the June 1947 issue of the Bullet of the Atomic Scientists. The themes of world government, nuclear world war, and Donald John Trump run very deep...
The timestamps of key parts of the video are listed below:
- Baruch Plan: June 14, 1946 Proposal for UN Control of All Nuclear Weapons: 0:00
- WW2, Hitler, United Nations, Manhattan Project: 1:20
- June 1947 Doomsday Clock is First Published: 2:35
- Interesting Details of the Bernard Baruch Plan: 3:32
- Trump World Tower and UN Headquarters in Manhattan: 5:20
- Google Earth of UN Plaza, WTC, and Statue of Liberty: 6:37
This video was taken from my earlier video listed below:
- ? Strange Coincidences Involving Donald Trump's Birthday: https://youtu.be/Yd0Ah2Komco
- HIVE video notes: https://peakd.com/hive-106474/@mes/coincidences-involving-donald-trumps-birthday
- Video sections playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0ElXMhiVmHKyq9IiI0SFYBk
Related Videos:
Full MES Occult video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0EX_SJASwVeZMA-CMgu6-Ox .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps .
------------------------------------------------------
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=VXRIme2I1fs
In this video I go over the example of determining the center of mass of a semi-circular plate using the formulas for centers of mass that I determined in my last video. To simplify this problem, I use the fact that a semi-circle is symmetric about the y-axis, thus its center of mass must lie on the y-axis. Thus we only need to solve for the center of mass y-variable. And in that integral I also show how we can simplify the integral by first noticing that the integrand is in fact an even function. This is a very useful video for not only showing how to apply the formulas of centers of mass but also on how to implement integral and symmetry properties to greatly simplify the integral, so make sure to watch this video!
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!104606&authkey=!ACbH4sbFg10MR54&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/applications-of-integrals-moments-and-centers-of-mass-example-2-semi-circle
Related Videos:
Moments and Centers of Mass: Constant Density: https://youtu.be/3bglr1sRWUc
Moments and Centers of Mass: Example 1: https://youtu.be/55jrfODcbWY
Moments and Centers of Mass: Introduction: https://youtu.be/lLSo5Hck6FM
Hydrostatic Pressure and Force: Example 2: Force on a Drum: https://youtu.be/8tZ86Iw68l8
Hydrostatic Pressure and Force: Example 1: Force on a Dam: https://youtu.be/Gr5H4icS4CQ
Applications of Integrals: Hydrostatic Pressure and Force: https://youtu.be/fesMt6vmXIo
Applications of Integrals: Surface Area: https://youtu.be/JkDPmAD37qk
Applications of Integrals: Arc Length Function: https://youtu.be/MWKK3qLvSwU
Applications of Integrals: Arc Length Proof: https://youtu.be/2rb4H_rmgxg
Simplified Filter Criteria: A Dam Filter Example: http://youtu.be/yGEeYAb4Olw
Soil Mechanics 101 - Phase Relations: http://youtu.be/DtKheQcL2BU
Types of Tailings Embankments: Upstream, Downstream and Centerline Construction Methods: http://youtu.be/1wm1XR6z-QE
Buoyancy - What is Archimedes' Principle and it's Proof: http://youtu.be/mXzccaH2KN
Symmetry in Integrals: Even vs. Odd Integrals: http://youtu.be/NbwJOQnT1eM
The Area of an Ellipse (and Circle): http://youtu.be/7hSkKPQA71s .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Ema
...
https://www.youtube.com/watch?v=vfCMuvqOCFM
In this video I go over a useful trig identity which is basically that the integral of 1/(x^2+a^2) = 1/a*arctan(x/a). This identity is derived from the derivative of arctan(x) or inverse tan(x) which I covered in my earlier video and you can see that proof in the video link below. This identity is used a lot when finding the integrals of rational functions that require using partial fraction decomposition to simplify the integral.
Download the notes in my video: http://1drv.ms/1Jjvn1o
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/trigonometric-identity-integral-of-1-x-2-a-2
Related Videos:
Derivative Rules: Proof of Chain Rule: http://youtu.be/tYDDpKzP-VU
Derivative of arctan(x) or Inverse tan(x): http://youtu.be/q9jdOiQ7pZY
Integration by Partial Fractions: Example 5: http://youtu.be/ql2mu5joNJI .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=XWsnhNCdzP8
Ever wonder how to calculate by square roots by hand?? I've always used a calculator to determine the square root of numbers that aren't perfect squares. And in this video I go over how to calculate the square root of 3 by hand. The method is pretty abstract but it is similar to long division and once you get the pattern down, it becomes pretty straight forward.
Download the notes in my video: https://www.dropbox.com/s/v6onedlkjdyy6ar/351%20-%20Calculating%20Square%20Roots%20by%20Hand.pdf
Related Videos:
Long Division by Hand - An in depth look: http://youtu.be/giBZg5Vqryo
Multiplication by Hand - In depth look at the wonderful world of multiplication: http://youtu.be/bUKGh5R_0Sw
Addition and Subtraction by Hand - An in-depth look: http://youtu.be/Tkb7xU-lFWU
111,111,111 x 111,111,111 = 12345678987654321 - Hand Calculation: http://youtu.be/N1g-fe7ZxfA .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=fJN8mmHxYcY
In this video I go over the trig identities for sin^2(-x), cos^2(-x), and tan^2(-x) and show that they are equal to sin^2(x), cos^2(x), and tan^2(x), respectively. This means that the values are the same whether x is positive or negative. This also means that the functions are all "even" functions as well as being symmetric about the y-axis. The proof for these identities is pretty straight forward and involves using the basic trig identities: sin(-x) = - sin(x) and cos(-x) = cos(x).
Download the notes in my video: https://onedrive.live.com/redir?resid=88862EF47BCAF6CD!103347&authkey=!AD4CvzcE8mRuS60&ithint=file%2cpdf
View Video Notes on Steemit: https://steemit.com/mathematics/@mes/trigonometric-identities-sin-2-x-cos-2-x-tan-2-x
Related Videos:
Trigonometry Identity: tan^2(x) + 1 = sec^2(x): https://youtu.be/5i3NZ_xip7I
Trigonometry Identity: 1 + cot^2(x) = csc^2(x): https://youtu.be/tFKQfOTekoI
Trigonometry: Sine, Cosine and Tan Functions: http://youtu.be/WKTIlF2oWw8
Trigonometry Graphing: Sin, Cos, Tan Functions: http://youtu.be/l_3cgeq-YXE
Trigonometry Identities: sin(-x) = - sin(x) and cos(-x) = cos(x): http://youtu.be/tD5EA2SXyFQ
Trigonometry Identities: cos(x +/- y) = cos(x)cos(y) -/+ sin(x)sin(y) : http://youtu.be/VuQczhk7HOs
Trigonometry Identities: cos(2π + x), sin(2π + x), cos(π/2 -x), sin(π/2 -x): http://youtu.be/EynSefQs308
Trigonometry Identities: sin(x +/- y) = sin(x)cos(y) +/- cos(x)sin(y): http://youtu.be/edtk9thfwbM .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=yIJsrPJENLA
I recently learned that Google has come out with 3D or Multi-Variable Graphing abilities built directly into the Google search bar. This is quite amazing and extremely easy to use and play around with! Enjoy as I play around with some of the stuff you can graph on it!
Related Videos:
Graphing with the Google Search Part 1: http://youtu.be/1k3QDg2sB4o
Graphing with the Google Search Part 2: Multiple Curves and Wolfram Alpha Comparison: http://youtu.be/jBThO3o1K3Y
Using Google Search as a Calculator: http://youtu.be/RxCqjklGw9A .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
In this video I show that the dot product can be utilized to write any vector in the form of its direction angles and direction cosines. Using the geometric interpretation of the dot product from my earlier video, I show that each component of a vector is equal to the cosine of its direction angle. Note that direction angles are the angles that a vector makes with each of the x, y, and z axes. I also go over an example in calculating the direction angles.
The timestamps of key parts of the video are listed below:
- Direction Angles and Direction Cosines: 0:00
- Example 5: 14:32
This video was taken from my earlier video listed below:
- Vectors and the Geometry of Space: The Dot Product: https://youtu.be/9uqtIk5iHys
- Video notes: https://peakd.com/hive-128780/@mes/vectors-and-the-geometry-of-space-the-dot-product
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0GbHgvpTY1mx61nTNO-Msl8
Related Videos:
Vectors and the Geometry of Space Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
Become a MES Super Fan! https://www.youtube.com/channel/UCUUBq1GPBvvGNz7dpgO14Ow/join
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
MES Links: https://mes.fm/links
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=yuBhap9cgj0
In this video I go over the vector equation of a line in 3D space. The method is similar to that of a line in 2D using the point-slope method. In 2D, a line is determined when a point on the line and the line's slope is known. Similarly, a line in 3D can be determined using vectors when a point on the line and a vector parallel to the line is known. The parallel vector can be multiplied by a scalar so that we can then find any point on the 3D line.
The timestamps of key parts of the video are listed below:
- Line in the xy-Plane: 0:00
- Vector Equation of a Line: 1:17
- Parameter t: 6:49
This video was taken from my earlier video listed below:
- Equations of Lines and Planes: https://youtu.be/qWQz6qPhXR8
- Video notes: https://peakd.com/hive-128780/@mes/equations-of-lines-and-planes
- Playlist: https://www.youtube.com/playlist?list=PLai3U8-WIK0FO3u0IupqllNNkZTsffpIV
Related videos:
Vectors and the Geometry of Space video series: https://www.youtube.com/playlist?list=PLai3U8-WIK0FjJpwnxwdrOR7L8Ul8VZoZ .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
MES Truth: https://mes.fm/truth
Official Website: https://MES.fm
Hive: https://peakd.com/@mes
MORE Links: https://linktr.ee/matheasy
Email me: contact@mes.fm
Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
Last week I got crashed into a car while riding my bicycle and had to go to the hospital. Luckily there were no broken bones or internal damage. I was pretty bruised up but should heal up soon. From that accident I learned a lot of safety tips which I believe everyone should be aware of including both bicyclists and drivers. Biking on the road can be very dangerous so make sure to always wear a helmet and follow my safety recommendations shown in the video!
Download the notes in my video: http://1drv.ms/1mg8rRY
Related Videos:
Amazing Google Maps 3D Animation + Gran Fondo Visual Route: http://youtu.be/7otGmGIYO4U
Athlete's Foot: What is it, how to treat it and how to avoid it! A must watch!: http://youtu.be/4yMD0_SSw1c
Athlete's Foot Part 2 - New Simple and Effective Treatment: http://youtu.be/piw3zUQnaaY
Beware of eBay Sellers Scam: "Can't File Complaint after 30 days...": http://youtu.be/IzKvtUK0nAg .
------------------------------------------------------
SUBSCRIBE via EMAIL: https://mes.fm/subscribe
DONATE! ʕ •ᴥ•ʔ https://mes.fm/donate
Like, Subscribe, Favorite, and Comment Below!
Follow us on:
Official Website: https://MES.fm
Steemit: https://steemit.com/@mes
Gab: https://gab.ai/matheasysolutions
Minds: https://minds.com/matheasysolutions
Twitter: https://twitter.com/MathEasySolns
Facebook: https://fb.com/MathEasySolutions
LinkedIn: https://mes.fm/linkedin
Pinterest: https://pinterest.com/MathEasySolns
Instagram: https://instagram.com/MathEasySolutions
Email me: contact@mes.fm
Try our Free Calculators: https://mes.fm/calculators
BMI Calculator: https://bmicalculator.mes.fm
Grade Calculator: https://gradecalculator.mes.fm
Mortgage Calculator: https://mortgagecalculator.mes.fm
Percentage Calculator: https://percentagecalculator.mes.fm
Try our Free Online Tools: https://mes.fm/tools
iPhone and Android Apps: https://mes.fm/mobile-apps
...
https://www.youtube.com/watch?v=id4gQJ1cZQk