- published: 19 Oct 2008
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In mathematics, the dot product or scalar product (sometimes inner product in the context of Euclidean space, or rarely projection product for emphasizing the geometric significance), is an algebraic operation that takes two equal-length sequences of numbers (usually coordinate vectors) and returns a single number. This operation can be defined either algebraically or geometrically. Algebraically, it is the sum of the products of the corresponding entries of the two sequences of numbers. Geometrically, it is the product of the Euclidean magnitudes of the two vectors and the cosine of the angle between them. The name "dot product" is derived from the centered dot " · " that is often used to designate this operation; the alternative name "scalar product" emphasizes that the result is a scalar (rather than a vector).
In three-dimensional space, the dot product contrasts with the cross product of two vectors, which produces a pseudovector as the result. The dot product is directly related to the cosine of the angle between two vectors in Euclidean space of any number of dimensions.
Introduction to the vector dot product. Created by Sal Khan. Watch the next lesson: https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/dot-vs-cross-product?utm_source=YT&utm;_medium=Desc&utm;_campaign=physics Missed the previous lesson? https://www.khanacademy.org/science/physics/magnetic-forces-and-magnetic-fields/electric-motors/v/magnetism-11-electric-motors?utm_source=YT&utm;_medium=Desc&utm;_campaign=physics Physics on Khan Academy: Physics is the study of the basic principles that govern the physical world around us. We'll start by looking at motion itself. Then, we'll learn about forces, momentum, energy, and other concepts in lots of different physical situations. To get the most out of physics, you'll need a solid understanding of alge...
Dot products are a nice geometric tool for understanding projection. But now that we know about linear transformations, we can get a deeper feel for what's going on with the dot product, and the connection between its numerical computation and its geometric interpretation. This series comes to you from Khan Academy, watch the rest here: https://www.khanacademy.org/math/linear-algebra/eola-topic/eola/v/eola-preview ------------- 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, adap...
Visual interpretation of the cross product and the dot product of two vectors. My Patreon page: https://www.patreon.com/EugeneK
I explain how to find the Dot Product and the properties of the dot product. I continue by explaining how to calculate the angle between to vectors, including the special cases of Parallel Vectors and Orthogonal Vectors. Check out http://www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class.
This video goes over the dot product also known as the scalar product. This video covers the geometric interpretation of the dot product by going over 5 distinct cases where the angle between the vectors varies. ►Website http://www.mathfortress.com/ ►Udemy http://www.udemy.com/u/mathfortress/ ►Curious.com https://curious.com/?ref=FebpNqD89ZA ►Facebook http://www.facebook.com/MathFortress ►Twitter: https://twitter.com/MathFortress ►Google+ https://plus.google.com/115895766762816292132/posts ►Pinterest http://pinterest.com/mathfortress/ ►Tumblr http://mathfortress.tumblr.com/
Calculus 3 Lecture 11.3: Using the Dot Product: Explanation of the Dot Product, Finding the angle between two vectors including how the Dot Production show orthogonal vectors, Vector Projection, Work, and Direction angles.
For full lesson visit: http://wp.me/p7kK3u-lc via WeSolveThem.com Submit problems via http://www.WeSolveThem.com/submit In this linear algebra dot product lesson you are given matrices in the form of vectors and just asked to do some manipulation to find certain aspects of the equation. This is really just a first time introduction problem for students that have never taken linear algebra before and need to be introduced to the notations. There are two parts to linear algebra, the application side and the proof/theory side. This is a part of the application side so you can see how to use the notations and see how knowing some information about how to set up equations will make your life easier in other courses with a lot of variables... http://wesolvethem.com/index-notation-the-scalar-o...
For full lesson visit: http://wp.me/p7kK3u-hW via WeSolveThem.com Submit problems via http://www.WeSolveThem.com/submit This is a pretty goofy problem, given matrix A, that you may see in some first courses of linear algebra to get you accustomed with the notation in linear algebra. The point is to multiply out the x values and then dot product the other x values with the matrix that had been multiplied out and then identify the coefficients. The most difficult part of linear algebra for most students is just understanding all the terminology and the notations. Try to take each problem with a grain of salt because they usually are not that hard to solve. http://wesolvethem.com/solution-manuals/david-lay-linear-algebra-3rd-edition/ http://wesolvethem.com/category/multivariable-calculus/c...
Udemy - Learn to Code in C++ by Developing Your First Game Learn C++ from scratch. How to make your first video game in Unreal engine. Gain confidence in programming. Instructed by Ben Tristem, Sam Pattuzzi C++ (pronounced cee plus plus, /ˈsiː plʌs plʌs/) is a general-purpose programming language. It has imperative, object-oriented and generic programming features, while also providing facilities for low-level memory manipulation. It was designed with a bias toward system programming and embedded, resource-constrained and large systems, with performance, efficiency and flexibility of use as its design highlights.[5] C++ has also been found useful in many other contexts, with key strengths being software infrastructure and resource-constrained applications,[5] including desktop application...
Trijicon RMR Reflex Red Dot Sights Overview - Product in Action - OpticsPlanet.com The Trijicon RMR (Ruggedized Miniature Reflex) sight is the most rugged miniature red dot sight available. It is made from 7075-T6 aluminum to MIL-spec standards and has a patented shape that absorbs impacts and diverts stresses away from the lens, increasing durability. Available in LED, Adjustable LED, or Dual Illuminated versions, and with dot sizes ranging from 1.0 MOA to 13 MOA you are sure to find what fits your needs. The RMR is a versatile sight that illuminates in any lighting condition. Trijicon Dual Illuminated: RM08, RM05 http://www.opticsplanet.com/trijicon-rmr-dual-illum-red-dot-sight.html?utm_source=YouTube&utm;_medium=referral&utm;_campaign=YouTube%20VROI%202105 http://www.opticsplanet.com/tr...
Although the video quality is normal. But believe me that old is gold. Feel free to change the world. Because its your time. LIKE | COMMENT | SHARE | SUBSCRIBE Copyright fact- 1:You are free to: Share — copy and redistribute the material in any medium or format Adapt — remix, transform, and build upon the material 2: "You do not have to comply with the license for elements of the material in the public domain or where your use is permitted by an applicable exception or limitation. No warranties are given. The license may not give you all of the permissions necessary for your intended use. For example, other rights such as publicity, privacy, or moral rights may limit how you use the material."- From MIT OCW. All Rights Reserved by MIT. 3: MIT Interpretati...
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