In mathematics, the scalar projection of a vector on (or onto) a vector , also known as the scalar resolute of in the direction of , is given by: where the operator denotes a dot product, is the unit vector in the direction of , is the length of , and is the angle between and . The term scalar component refers sometimes to scalar projection, as, in Cartesian coordinates, the components of a vector are the scalar projections in the directions of the coordinate axes. The scalar projection is a scalar, equal to the length of the orthogonal projection of on , with a negative sign if the projection has an opposite direction with respect to . Multiplying the scalar projection of on by converts it into the above-mentioned orthogonal projection, also called vector projection of on . (Wikipedia).
https://goo.gl/e6wdj2 for more FREE video tutorials covering Engineering Mechanics (Statics & Dynamics) The objectives of this video are to review the scalar & vector concept and to do distinguish between scalars and vectors. First of all, the video gives definition of scalar & vector whe
From playlist SpoonFeedMe: Engineering Mechanics (Statics & Dynamics)
Describes the difference between scalars and vectors. You can see a listing of all my videos at my website, http://www.stepbystepscience.com
From playlist Motion Graphs; Position and Velocity vs. Time
Physics 2 - Motion In One-Dimension (1 of 22) Definition
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain the definition vector and the difference between a scalar and vector.
From playlist MOST POPULAR VIDEOS
Multivariable Calculus | The scalar multiple of a vector.
We define scalar multiplication in the context of 2 and 3 dimensional vectors. We also present a few properties of scalar multiplication and vector addition. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Vectors for Multivariable Calculus
8.01x - Module 03.01 - What is a vector, what is a scalar.
What is a vector, what is a scalar.
From playlist 8.01x - MIT Help Sessions
How do we represent the scalar of a vector
Learn the basics of vector operations. Vectors can be added, subtracted and multiplied. To add or subtract two or more vectors, we add each of the corresponding components of the vectors. To multiply a scalar to a vector, we simply multiply the scalar to each of the components of the vecto
From playlist Vectors
Calculus 3: Vector Calculus in 2D (3 of 39) Scalar Multiplication
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain that a scalars only represent magnitude (it has no direction) and can be negative. And I will show how to execute vector scalar multiplication of multiplying a scalar quantity to a vector quan
From playlist CALCULUS 3 CH 3 VECTOR CALCULUS
Physics - Advanced E&M: Ch 1 Math Concepts (10 of 55) What is the Gradient of a Scalar?
Visit http://ilectureonline.com for more math and science lectures! In this video I will develop the equation of the gradient of a scalar in 2-D space. Next video in this series can be seen at: https://youtu.be/rZ2AQpcWHzw
From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM
Scalar Projection of a Vector Onto Another Vector
In this video we find the scalar projection of one vector onto another vector. I hope this helps someone who is studying calculus and learning about projections. Great Calculus Book: https://amzn.to/3VfotAU This is my affiliate link. As an Amazon Associate I earn from qualifying purchases
From playlist Vectors
5.6 Vector Dot Product (Scalar Projection) - The Nature of Code
This video covers the dot product and scalar projection with p5.js and vectors, concepts that I'll need for finding the distance between a point and a line which will lead to the path following steering behavior in the next video! https://thecodingtrain.com/learning/nature-of-code/5.6-dot-
From playlist Recent uploads
What is the projection of one vector on another one and how is it useful? Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link) Test your understanding via a short quiz http://goo.gl/forms/CpZUX1mFLS
From playlist Introduction to Vectors
Scalar and vector projections (KristaKingMath)
► My Vectors course: https://www.kristakingmath.com/vectors-course Learn how to find the scalar projections and vector projections of a onto b. The scalar projection is also called the component of b along a. ● ● ● GET EXTRA HELP ● ● ● If you could use some extra help with your math cla
From playlist Calculus III
Geometric Algebra, First Course, Episode 06: Scalar Product and the Metric.
The scalar product has many applications in elementary Physics. We extend our Multivector to have the standard scalar product, allowing us to compute magnitudes and angles between vectors. In doing so, we choose our basis vectors to be orthogonal. We recognize that we live in Euclidean Sp
From playlist Geometric Algebra, First Course, in STEMCstudio
Scalar triple product and volume
How to calculate the volume of parallelpipeds via scalar triple product of vectors. Free ebook https://bookboon.com/en/introduction-to-vectors-ebook (updated link)
From playlist Introduction to Vectors
Why ct² - x² is Invariant under Lorentz Transformation
Derivation of the Lorentz transformation matrix: https://youtu.be/6f_yxbtM2TI The spacetime interval s^2 = ct^2 - x^2 is important in special relativity because it stays the same in all inertial reference frames. Here we use some linear algebra to give a proof of exactly why this interval
From playlist Special Relativity
Geometric Algebra - Linear Transformations, Outermorphism, and the Determinant
In this video, we will review some basic concepts from linear algebra, such as the linear transformation, prove important theorems which ground matrix operations, extend the linear transformation on vectors to higher-graded elements to bivectors and trivectors, and define the determinant o
From playlist Geometric Algebra
Mechanical Engineering: Rigid Bodies & Sys of Forces (18 of 47) What is a Scalar Product?
Visit http://ilectureonline.com for more math and science lectures! In this video I will define and explain scalar product and its applications. Next video in the Rigid Bodies and System of Forces series can be seen at: http://youtu.be/YEEPf2va1b4
From playlist MECHANICAL ENGINEERING 2 - MOMENT OF A FORCE
Expressing a projection on to a line as a matrix vector prod | Linear Algebra | Khan Academy
Expressing a Projection on to a line as a Matrix Vector prod Watch the next lesson: https://www.khanacademy.org/math/linear-algebra/matrix_transformations/composition_of_transformations/v/compositions-of-linear-transformations-1?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Mi
From playlist Matrix transformations | Linear Algebra | Khan Academy
Physics - Advanced E&M: Ch 1 Math Concepts (5 of 55) What is the Scalar Product?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain and develop the scalar product of 2 vectors. Next video in this series can be seen at: https://youtu.be/_XPTFy2t-7s
From playlist PHYSICS 67 ADVANCED ELECTRICITY & MAGNETISM
Scalar or Vector? | #Shorts #YouTubeShorts #Scalar #Vector | Don't Memorise
What’s the difference between scalar and vector quantities? Let’s understand with a practical example! Don’t Memorise brings learning to life through its captivating educational videos. To Know More, visit https://infinitylearn.com/ New videos every week. To stay updated, subscribe to o
From playlist Shorts