22

Vector Products (Dot Product)

Vector Products (Dot Product). Vector Algebra The Three Products

Download PPT Report

View
234
Download
2

Tags:

Embed Size (px)

Citation preview

Page 1: Vector Products (Dot Product). Vector Algebra The Three Products

Vector Products (Dot Product)

Page 2: Vector Products (Dot Product). Vector Algebra The Three Products

Vector Algebra

Page 3: Vector Products (Dot Product). Vector Algebra The Three Products

The Three Products

Page 4: Vector Products (Dot Product). Vector Algebra The Three Products

Work

F

d

Page 5: Vector Products (Dot Product). Vector Algebra The Three Products

Work

F

Fh Fv d

Page 6: Vector Products (Dot Product). Vector Algebra The Three Products

Work

F

Fh Fv d

Work = ||Fh||x ||d||

Page 7: Vector Products (Dot Product). Vector Algebra The Three Products

Work

F

Fh Fv d

Work = ||Fh||x ||d||

= ||F|| x ||d|| cos

Page 8: Vector Products (Dot Product). Vector Algebra The Three Products

Dot Product

Page 9: Vector Products (Dot Product). Vector Algebra The Three Products

Work

F

Fh d

Page 10: Vector Products (Dot Product). Vector Algebra The Three Products

Application

Page 11: Vector Products (Dot Product). Vector Algebra The Three Products

Theorem

Page 12: Vector Products (Dot Product). Vector Algebra The Three Products

Alternate Definition

Page 13: Vector Products (Dot Product). Vector Algebra The Three Products

Properties of the Dot Product

Page 14: Vector Products (Dot Product). Vector Algebra The Three Products

Length or Magnitude

Page 15: Vector Products (Dot Product). Vector Algebra The Three Products

Application

Page 16: Vector Products (Dot Product). Vector Algebra The Three Products

Angle Between Vectors

Page 17: Vector Products (Dot Product). Vector Algebra The Three Products

Application

Page 18: Vector Products (Dot Product). Vector Algebra The Three Products

Component of Projection

v

u

Page 19: Vector Products (Dot Product). Vector Algebra The Three Products

Projection of a Vector

v

u

Pproj

Page 20: Vector Products (Dot Product). Vector Algebra The Three Products

Application

Page 21: Vector Products (Dot Product). Vector Algebra The Three Products

Direction Cosines

Page 22: Vector Products (Dot Product). Vector Algebra The Three Products

Application

10.3 Dot Product (“multiplying vectors”) Properties of the dot product Angle between two vectors using dot product Direction Cosines Projection of a vector

10.3 Dot Product (“multiplying vectors”) Properties of the dot product Angle between two vectors using dot product Direction Cosines Projection of a vector

Documents

Vector Products

Vector Products

Documents

6.4 Vectors and Dot Products

6.4 Vectors and Dot Products

Documents

Vector Analysis and EM Wavespeople.uncw.edu/hermanr/phy311/MathPhysBook/maxwell.pdf · 2012-04-15 · vector analysis and em waves 375 common vector products, the dot product, which

Vector Analysis and EM Wavespeople.uncw.edu/hermanr/phy311/MathPhysBook/maxwell.pdf · 2012-04-15 · vector analysis and em waves 375 common vector products, the dot product, which

Documents

งานและพลังงานdekphysics.com/webmastertalk/m4/WorkandEnergy.pdf · 2017-09-19 · งานและพลังงาน งาน การ dot vector การหางานจากพื้นที่ใต้กราฟ

งานและพลังงานdekphysics.com/webmastertalk/m4/WorkandEnergy.pdf · 2017-09-19 · งานและพลังงาน งาน การ dot vector การหางานจากพื้นที่ใต้กราฟ

Documents

RT600 Out of the Box (OOB) Demo · Vector Dot Product Executes the vector dot product of two float vectors with length of 16 each. Inverse Matrix Executes the inverse of a 2x2 float

RT600 Out of the Box (OOB) Demo · Vector Dot Product Executes the vector dot product of two float vectors with length of 16 each. Inverse Matrix Executes the inverse of a 2x2 float

Documents

Vector Products (Cross Product). Torque F r T

Vector Products (Cross Product). Torque F r T

Documents

8-3 Dot Products and Vector Projections · women ¶s basketballs. The dot product represents the sum of these two numbers. The total revenue that can be made by selling all of the

8-3 Dot Products and Vector Projections · women ¶s basketballs. The dot product represents the sum of these two numbers. The total revenue that can be made by selling all of the

Documents

Applications of Gridded Ocean Vector Wind Products

Applications of Gridded Ocean Vector Wind Products

Documents

Matrix-Vector Products and the Matrix Equation Ax= bhavens/m235Lectures/Lecture05.pdfThen the dot product uv is the scalar quantity uv = kukkvkcos : ... In particular, any linear system

Matrix-Vector Products and the Matrix Equation Ax= bhavens/m235Lectures/Lecture05.pdfThen the dot product uv is the scalar quantity uv = kukkvkcos : ... In particular, any linear system

Documents

affine - University of Washington · 2019-04-19 · 5 Canonical axes x y z 6 Vector length and dot products u v 7 Vector cross products u v 8 Representation, cont. We can represent

affine - University of Washington · 2019-04-19 · 5 Canonical axes x y z 6 Vector length and dot products u v 7 Vector cross products u v 8 Representation, cont. We can represent

Documents

Chapter 07 - Vectors-And-Dot Products

Chapter 07 - Vectors-And-Dot Products

Documents

11.3 The Dot Product. Geometric interpretation of dot product A dot product is the magnitude of one vector times the portion of the vector that points

11.3 The Dot Product. Geometric interpretation of dot product A dot product is the magnitude of one vector times the portion of the vector that points

Documents

MRI. Vector Review x y z Vector Review (2) The Dot Product The Cross Product (a scalar) (a vector) (a scalar)

MRI. Vector Review x y z Vector Review (2) The Dot Product The Cross Product (a scalar) (a vector) (a scalar)

Documents

Points, Vectors, Vertices, Coordinates Dot Products, Cross

Points, Vectors, Vertices, Coordinates Dot Products, Cross

Documents

DOT PRODUCT (Scalar Product) Learning Objectives...DOT PRODUCT (Scalar Product) Learning Objectives 1). To use the dot product to determine: i) the projection of a vector in another

DOT PRODUCT (Scalar Product) Learning Objectives...DOT PRODUCT (Scalar Product) Learning Objectives 1). To use the dot product to determine: i) the projection of a vector in another

Documents

LinearAlgebraReviewandReference · 2.1 Vector-Vector Products Given two vectors x,y ∈ Rn, the quantity xTy, sometimes called the inner product or dot product of the vectors, is

LinearAlgebraReviewandReference · 2.1 Vector-Vector Products Given two vectors x,y ∈ Rn, the quantity xTy, sometimes called the inner product or dot product of the vectors, is

Documents

Kinetic energy Vector dot product (scalar product ...web.mst.edu/~vojtaa/engphys1/lectures/lec10.pdf• Kinetic energy • Vector dot product (scalar product) • Definition of work

Kinetic energy Vector dot product (scalar product ...web.mst.edu/~vojtaa/engphys1/lectures/lec10.pdf• Kinetic energy • Vector dot product (scalar product) • Definition of work

Documents

6.4 Vectors and Dot Products Finding the angle between two vectors Writing a vector as the sum of two vectors components

6.4 Vectors and Dot Products Finding the angle between two vectors Writing a vector as the sum of two vectors components

Documents

AllPro Vector Group Mosquito Control Products · AllPro Vector Group Mosquito Control Products David Sykes Madison, FL . Oil based

AllPro Vector Group Mosquito Control Products · AllPro Vector Group Mosquito Control Products David Sykes Madison, FL . Oil based

Documents

1 Dr. Scott Schaefer 3D Transformations. 2/149 Review – Vector Operations Dot Product

1 Dr. Scott Schaefer 3D Transformations. 2/149 Review – Vector Operations Dot Product

Documents

The Dot Product The Cross Product - Doc Benton Dot Product & The Cross Product. ... vector b that is parallel to vector a. b G a G b cos ... Microsoft PowerPoint - VectorProducts.ppt

The Dot Product The Cross Product - Doc Benton Dot Product & The Cross Product. ... vector b that is parallel to vector a. b G a G b cos ... Microsoft PowerPoint - VectorProducts.ppt

Documents

Dot Product (Vector Multiplication)knollatoconnor.weebly.com/uploads/5/0/1/4/5014637/... · 6.4 Vectors and Dot Product Plan: •Find the dot product of two vectors and use properties

Dot Product (Vector Multiplication)knollatoconnor.weebly.com/uploads/5/0/1/4/5014637/... · 6.4 Vectors and Dot Product Plan: •Find the dot product of two vectors and use properties

Documents

Vector Art 101 - Promotional Products and Promotional Items

Vector Art 101 - Promotional Products and Promotional Items

Documents

Support Vector and Kernel Methods for Pattern …yfwang/courses/cs290i_prann/...appears only inside dot products αii←+αη ∑ +≤ j yi αj yj xj , xi b 0 Duality: First Property

Support Vector and Kernel Methods for Pattern …yfwang/courses/cs290i_prann/...appears only inside dot products αii←+αη ∑ +≤ j yi αj yj xj , xi b 0 Duality: First Property

Documents

Lecture 6. Notes on Linear Algebra. Perceptron · • Notes on linear algebra ∗Vectors and dot products ∗Hyperplanes and vector normals • Perceptron ∗Introduction to Artificial

Lecture 6. Notes on Linear Algebra. Perceptron · • Notes on linear algebra ∗Vectors and dot products ∗Hyperplanes and vector normals • Perceptron ∗Introduction to Artificial

Documents

Sparse Matrix Computations - Univerzita Karlovacarson/ppt/KNM_MFF... · 2018. 11. 15. · ×Vector Inner Products Vector Updates Inner Products Vector Updates End Loop 0= −𝐴

Sparse Matrix Computations - Univerzita Karlovacarson/ppt/KNM_MFF... · 2018. 11. 15. · ×Vector Inner Products Vector Updates Inner Products Vector Updates End Loop 0= −𝐴

Documents

Unit 6 Day 2 Vectors and Dot Products 6.4

Unit 6 Day 2 Vectors and Dot Products 6.4

Documents

$Infinite Precalculus - Dot Products and Unit Vector Notes€¦ · Precalculus Dot Products and Unit Vector Notes Name_____ Date_____ Period____ ©P H2c0b1l8N OKhuYtWaV kSVokf_t^wIa\rHeK$

Infinite Precalculus - Dot Products and Unit Vector Notes€¦ · Precalculus Dot Products and Unit Vector Notes Name_____ Date_____ Period____ ©P H2c0b1l8N OKhuYtWaV kSVokf_t^wIa\rHeK

Documents

Dot product and vector projections (Sect. 12.3) There are ... · Dot product and vector projections (Sect. 12.3) I Two deﬁnitions for the dot product. I Geometric deﬁnition of

Dot product and vector projections (Sect. 12.3) There are ... · Dot product and vector projections (Sect. 12.3) I Two deﬁnitions for the dot product. I Geometric deﬁnition of

Documents