PPT-Vectors

August 2011 Objectives To define the difference between scalar and vectorial quantities To understand and use vectorial addition To state and understand the concept of relative velocities. Physics. K. Allison. Engagement. If a plane and the wind are blowing in the . opposite . direction, then the plane’s velocity . will . de. crease. .. Today we will learn how we can represent events like this.. 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}. 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 . 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.. John . Cadigan. , David Ellison, Ethan Roday. System Overview. Document summarization system is organized as a multi-step pipeline.. System Overview. Two major components for content selection:. Feature selection step to generate sentence vectors. 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?. 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