PPT-Force Vectors

Vectors Have both a magnitude and direction Examples Position force moment Vector Quantities Vector Notation Handwritten notation usually includes an arrow such as Vectors are given a variable such as A or B. 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.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}. 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. 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 . At the end of yesterday, we addressed the case of using the dot product to determine the angles between vectors. Similar to equations from algebra, we can talk about relationship of vectors as well. Parallel. GENETIC. . ENGINEERING. Genetic engineering is the manipulation of genetic materials which can be introduced in the host organisms and thus change the phenotype of the host organism.. 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.. . 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 . 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. In some cases, we will have to decompose a vector into a sum of two separate vectors. Recall; most vectors may be written as some variation of the special unit vectors {1,0} and {0,1}. With vectors, sometimes they may not be pointing or oriented in the proper direction. 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.. 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?.