PPT-10.2 Space Coordinates and Vectors in Space

3D Coordinate System Vectors in Space Real life applications Review from 101 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. Part I: Polar Coordinates. Objectives. Objectives: Know how to convert between polar and Cartesian coordinates and how to sketch functions in polar coordinates. Corresponding Sections in Simmons 16.1,16.2,16.3. 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}. 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. 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?. 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.. 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.. 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. 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. &. 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. Change coordinate system so that center of the coordinate system is at pinhole and Z axis is along viewing direction. Perspective projection. The projection equation. Is this equation linear?. Can this equation be represented by a matrix multiplication?.