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Cross product introduction | Vectors and spaces | Linear Algebra | Khan Academy Teacherflix 14 Ansichten • 2 Jahre vor

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/linear-algebra/ve

Introduction to the cross product

Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/proof-relationship-between-cross-product-and-sin-of-angle?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Missed the previous lesson?
https://www.khanacademy.org/math/linear-algebra/vectors_and_spaces/dot_cross_products/v/defining-a-plane-in-r3-with-a-point-and-normal-vector?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra

Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by science or engineering majors after taking at least two semesters of calculus (although calculus really isn't a prereq) so don't confuse this with regular high school algebra.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to KhanAcademy’s Linear Algebra channel:: https://www.youtube.com/channe....l/UCGYSKl6e3HM0PP7QR
Subscribe to KhanAcademy: https://www.youtube.com/subscr....iption_center?add_us

Combining like terms, but more complicated | Introduction to algebra | Algebra I | Khan Academy Teacherflix 14 Ansichten • 2 Jahre vor

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/ma....th/algebra/x2f8bb115

This example of combining like terms in an expression gets a little hairy. Listen closely.

Practice this lesson yourself on KhanAcademy.org right now:
https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/e/combining_like_terms_1?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Watch the next lesson: https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-and-the-distributive-property?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Missed the previous lesson?
https://www.khanacademy.org/math/algebra/introduction-to-algebra/manipulating-expressions/v/combining-like-terms-2?utm_source=YT&utm_medium=Desc&utm_campaign=AlgebraI

Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.

About Khan Academy: Khan Academy offers practice exercises, instructional videos, and a personalized learning dashboard that empower learners to study at their own pace in and outside of the classroom. We tackle math, science, computer programming, history, art history, economics, and more. Our math missions guide learners from kindergarten to calculus using state-of-the-art, adaptive technology that identifies strengths and learning gaps. We've also partnered with institutions like NASA, The Museum of Modern Art, The California Academy of Sciences, and MIT to offer specialized content.

For free. For everyone. Forever. #YouCanLearnAnything

Subscribe to Khan Academy’s Algebra channel:
https://www.youtube.com/channe....l/UCYZrCV8PNENpJt36V
Subscribe to Khan Academy: https://www.youtube.com/subscr....iption_center?add_us

How do Soldiers Stay Clean in Battle? Teacherflix 14 Ansichten • 2 Jahre vor

Get 20% OFF + Free Shipping @Manscaped with code SIMPLEHISTORY at → https://mnscpd.com/simplehistory #teammanscaped

While Alexander Fleming’s antibiotics and the practice of vaccinations often get the limelight, the banal everyday habit of personal hygiene is just as vital to our health, regardless if you are wrapped up warm in blankets at home or covered in less warm blankets of mud on the battlefield. Here we take a look at the essentials often preached to U.S. soldiers in the present day. While hygiene has been discussed since people cared about how they looked, the methods of staying clean and healthy have varied dramatically throughout time. Learn of modern soldiers’ responsibilities, daily routines, their focus on sanitation, all of which have been meticulously detailed to keep fighters on the field instead of under them.

2nd Channel: https://www.youtube.com/channe....l/UCPdc6bs3I8s6Y4QE_
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Created by Daniel Turner (B.A. (Hons) in History, University College London)

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Bibliography
Boardman, John. Alexander the Great: From His Death to the Present Day. Princeton: Princeton University Press, 2019.
Odierno, Raymond T, and Gerald B O'Keefe. “Field Hygiene and Sanitation - United States Army.” Field Hygiene and Sanitation. Headquarters, Department of the Army, May 2015.

Oldstone-Moore, Christopher. “Why Alexander the Great Told His Men to Shave off Their Beards.” The Atlantic. Atlantic Media Company, February 9, 2016.

Parker, Geoffrey, and Simon Adams. The Thirty Years' War. London: Routledge, 2007.