PPT-VECTORS Scalar Multiplication – Resizing Vectors

Any vector can be resized by multiplying it by a real number scalar Multiplying by positive scalar changes magnitude only Multiplying by a negative scalar changes the magnitude and its direction. 1 Motivation A3 A2 Vectors A3 A21 Notational Conventions A4 A22 Visualization A5 A23 Special Vectors A5 A3 Vector Operations A5 A31 Transposition A6 A32 Equality A6 A33 Addition and Subtraction A . scalar. quantity . can be described by a . single number. , . with some meaningful . unit. 4 oranges. 20 miles. 5 miles/hour. 10 Joules of energy. 9 Volts . Vectors and scalars. A . scalar. quantity . In the case of vectors, we have a special vector known as the . unit vector. Unit Vector. = any vector with a length 1; direction irrelevant . Two special unit vectors we look at the most;. i. = {1, 0}. Is a . number. with units. It can be positive or negative.. Example: distance, mass, speed, Temperature…. Chapter 3: . VECTORS. 3-2 . Vectors and Scalars. Scalar. Is a quantity with both . direction. A.D. . Rollett. Vectors, Matrices, . Rotations. , . Axis Transformations. Most of the material in these slides originated in lecture notes by Prof. Brent Adams (. now emeritus . at BYU). . Last revised: 9 Nov. ‘11. Matrices. Definition: A matrix is a rectangular array of numbers or symbolic elements. In many applications, the rows of a matrix will represent individuals cases (people, items, plants, animals,...) and columns will represent attributes or characteristics. Quiz-. By: . Atul. . Soral. QUESTION 1. Displacement is a. A. Scalar quantity. B. Vector quantity. C. Base quantity. D. Derived . quantity. QUESTION 2. The adding of two vectors to get a single vector is termed as. Scalar quantities . have only a magnitude (amount).. Vector quantities . have a magnitude . and. a direction. . We represent them as . arrows. .. Distance. (d): the separation between . two points. . . Vectors. . . . When an object moves along a straight line, its velocity can be determined by a single number that represents both magnitude and direction. (forward if positive and backward if negative.. Lecture 2: . Units . and . Vectors. Kinematics. Checklist. Yesterday:. Homework for Chapter 1 submitted via Mastering. Pre-lectures and check-points completed before 8:00AM today. Wednesday:. Pre-lectures and checkpoints for 1-Dim motion. 4.1 Vectors in . R. n. 4.2 Vector Spaces. 4.3 Subspaces of Vector Spaces. 4.4 Spanning Sets and Linear Independence. 4.5 Basis and Dimension. 4.6 Rank of a Matrix and Systems of Linear Equations. Read Chapter 1.6-1.9. Scalars and Vectors. All measurements are considered to be quantities. In physics, there are 2 types of quantities – . SCALARS. . AND . VECTORS. .. Scalar. quantities have only magnitude.. Vectors Math 200 Week 1- Wednesday Math 200 Main Questions for Today What is a vector? What operations can we do with vectors? What kinds of representations and notations do we have for vectors? What are some of the important properties of vectors? 1. Electromagnetism. . Introduction to Electrodynamics. Fourth Edition . David J. . Griths. Abeer. . Alshammari. 2. Abeer Alshammari. 3. Scalar quantities:. . Quantities. . having magnitude only..