PPT-Specification Nature of scalars and vectors.

Examples should include velocityspeed mass forceweight acceleration displacementdistance Addition of vectors by calculation or scale drawing Calculations will be limited to two vectors at right angles Scale drawings may involve vectors at angles other than . 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 Math 185 Vectors d) neither, because it is a direction only (Careful! You might think that the 15 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. 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. 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. 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?. Scalar quantities . have only a magnitude (amount).. Vector quantities . have a magnitude . and. a direction. . We represent them as . arrows. .. Distance. (d): the separation between . two points. . 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). 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