ࡱ>  " bjbjWW K,==wz z 8,DnYoGGG0n2n2n2n2n2n2n$pGsfVnGNG^GGGVn-kn J J JGd0n JG0n J Jg]@\mH|k"nn0nksHsD\m\m,smGG JGGGGGVnVnVIGGGnGGGGsGGGGGGGGGz : Chapter 3 Notes Outline: Vectors Vectors Definition: Examples: Scalars Definition: Examples: This is how you draw a vector Direction of Vectors Vector direction is the direction of the arrow, given by an angle. Magnitude of Vectors The best way to determine the magnitude of a vector is to measure its __________________________. The length of the vector is proportional to the ___________________________ of the quantity it represents.  EMBED PowerPoint.Slide.8  Equal Vectors Equal vectors have the same _____________________________________________________and represent the same quantity (such as force or velocity). Draw several equal vectors. Inverse Vectors Inverse vectors have the same length, but opposite direction. Draw a set of inverse vectors. Graphical Addition of Vectors Add vectors A and B graphically by drawing them together in a ________________________ arrangement. Draw vector A first, and then draw vector B such that its __________ is on the _______of vector A. Then draw the sum, or ____________________vector, by drawing a vector from the tail of A to the head of B. Measure the magnitude and direction of the ___________ vector. Practice Graphical Addition The Resultant and the Equilibrant Definition of Resultant: Definition of Equilibrant: Practice The Equilibrant Graphical Subtraction of Vectors Subtract vectors A and B graphically by adding vector A with the inverse of vector B (-B). First draw vector A, then draw -B such that its tail is on the head of vector A. The difference is the vector drawn from the tail of vector A to the head of -B. Practice Graphical Subtraction Sample Problem Vector A points in the +x direction and has a magnitude of 75 m. Vector B has a magnitude of 30 m and has a direction of 30o relative to the x axis. Vector C has a magnitude of 50 m and points in a direction of -60o relative to the x axis. Find A + B graphically.  Find A + B + C graphically.  c) Fnd A B graphically.       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