PPT-1 2 Motion - Vectors

3 Motion Kinematics 4 5 Energy 6 7 8 9 Toughies 1 2 3 4 5. 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.. 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.. Objectives. :. Distinguish between vector and scalar quantities. Add vectors graphically. Scalar. – a quantity that can be completely described by a number (called its magnitude) and a unit.. Ex: length, temperature, and volume. 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. 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?. . 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. 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?. 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