PPT-Vectors in Two Dimensions

Read Chapter 1619 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. INDIA Ph 9122 4200 9100 9200 Fax 9122 2847 8508 Email customercarekisangroupcom Website wwwkisangroupcom brPage 2br Crates Strong Built Durable Performance A product from the leaders in pipe manufacturing 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.. A.S. 1.3.1 – 1.3.4. Scalar Quantities. Those values, measured or coefficients, that are complete when reported with only a magnitude. Examples:. . the table is 2.5 m long. . He ran the 100. m race in 12.65 s.. 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. 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}. 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. . example:. ..  .  .  . where . are unit vectors in x, y and z directions..  . .  .  .  .  . Both, position vector of point A and point A have the same coordinates:. Vector as position vector of point A in . . 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.. Scalar. A . SCALAR. is ANY quantity in physics that has . MAGNITUDE. , but NOT a direction associated with it.. Magnitude. – A numerical value with units.. Scalar Example. Magnitude. Speed. 20 m/s. The line and arrow used in Ch.3 showing magnitude and direction is known as the . Graphical Representation. Used when drawing vector diagrams. When using printed materials, it is known as . Algebraic Representation. 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.. 3D Coordinate System. Vectors in Space. Real life applications. Review from 10.1. Two vectors are equal if they have the same magnitude and direction (same length and are parallel). The zero vector, denoted by 0, is a vector with zero magnitude (undefined 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?.