PPT-Scalars and Vectors

define scalar and vector quantities and give examples b draw and use a vector triangle to determine the resultant of two vectors such as displacement velocity and force c Use trigonometry to determine the resultant of two vectors. 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 1 Scalars and Vectors is a number which expremay or may not have units associated with them.Examples: mass, volume, energy, money s both magnitude and direction. The magnitude of a vector is a scala 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. Any vector can be resolved into horizontal and vertical components. v. v. x. v. y. A Helicopter is traveling . above a highway at . 29m/s at an angle of 25 degrees with respect to flat ground.. . How fast would a sports car have to travel to stay beneath the helicopter?. 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. 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, Shmectors. Objectives. 1. Distinguish between a scalar and a vector.. 2. Add and subtract vectors by using the graphical method.. 3. Multiply and divide vectors by scalars.. Vectors, Schmectors. 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.. Chapter 3 pg. . 81-105. What do you think?. How are measurements such as mass and volume different from measurements such as velocity and acceleration?. How can you add two velocities that are in different directions?. &. VECTOR BORNE DISEASES. VECTOR. FIGHT. Version November 2017. About the Event:. By . KfW. Development during World Health Summit 2017. 15th. -. 17th October 2017 in Berlin. 20 ideas at the start – 8 ideas selected. In physics, we are often concerned with the direction of an object's motions. To represent direction we need to use vectors. "John was traveling at a of 100km/h" compared to "John was traveling at Examples should include: . velocity/speed, mass, force/weight, acceleration, displacement/distance. . Addition of vectors by calculation or scale drawing. . Calculations will be limited to two vectors at right angles. Scale drawings may involve vectors at angles other than .