PPT-VECTORS

Motivating Question An Airplane flies north with an airspeed of 575 mph If the wind is blowing 30 north of east at 50 mph what is the speed of the plane as measured from the ground What if the wind blew south of west. 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 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.. Which of the following is the odd one out?. Mass. Speed. Force. Temperature. Distance. Elephant. Which of the following is the odd one out?. Mass. Speed. Force. Temperature. Distance. Elephant. Scalars. Objectives. :. Distinguish between vector and scalar quantities. Add vectors graphically. Scalar. – a quantity that can be completely described by a number (called its magnitude) and a unit.. Ex: length, temperature, and volume. 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}. p. etra.ryrstedt@lund.se. Polhemskolan, Lund, Sweden. Nspire and . vectors. This. . year. I . used four different files to teach. my . students. . about. . vectors. I have used these files several times but every time . 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. Distinguish between scalars and vectors.. Recognise quantities as either scalars or vectors.. HL: Find the resultant of perpendicular vectors.. HL: Describe how to find the resultant of two vectors.. Objectives:. To describe vectors. To solve problems that involve vector addition. Vector. : .  . Any quantity with magnitude (size) and direction. . Magnitude. : . The . distance. from the initial point to the terminal point.. 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.. properties, addition, components of vectors . When you see a vector, think components!. Multiplication of vectors will come in later chapters.. Vectors have . magnitude. and . direction. .. Chapter 3: Vectors. 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..