HL Vectors Notes 1. Vector or Scalar Many physical quantities such as area‚ length‚ mass and temperature are completely described once the magnitude of the quantity is given. Such quantities are called “scalars.” Other quantities possess the properties of magnitude and direction. A quantity of this kind is called a “vector” quantity. Winds are usually described by giving their speed and direction; say 20 km/h north east. The wind speed and wind direction together form a vector quantity
Premium Analytic geometry Linear algebra Addition
Vector Analysis Definition A vector in n dimension is any set of n-components that transforms in the same manner as a displacement when you change coordinates Displacement is the model for the behavior of all vectors Roughly speaking: A vector is a quantity with both direction as well as magnitude. On the contrary‚ a scalar has no direction and remains unchanged when one changes the coordinates. Notation: Bold face A‚ in handwriting A . The magnitude of the vector is denoted by A A
Premium Vector calculus
quantity which depends on direction a vector quantity‚ and a quantity which does not depend on direction is called a scalar quantity. Vector quantities have two characteristics‚ a magnitude and a direction. Scalar quantities have only a magnitude. When comparing two vector quantities of the same type‚ you have to compare both the magnitude and the direction. For scalars‚ you only have to compare the magnitude. When doing any mathematical operation on a vector quantity (like adding‚ subtracting‚ multiplying
Free Force Mass Classical mechanics
4W Experiment to Verify Snell’s Law of Refraction and to Estimate the Speed of Light inside a Transparent Plastic Block 1. Preparation: a) Read about refraction of waves and Snell’s Law. b) Find the relation between the refractive index of a medium and the speed of light in that medium. c) Read about total internal reflection; especially the definition of the “critical angle of incidence”. 2. Using the special apparatus provided‚ measure the angles of refraction corresponding to a wide range of
Premium Refraction Snell's law Total internal reflection
Physics Lab Report: Magnetism Aim: To compare the ratio of the magnetic length‚ the geometric length and magnetic field strength of different shaped magnets. Materials: * A Bar Magnet * A Horse Shoe Shaped Magnet * A Cylindrical Magnet * A Compass * Pencil * Ruler * A Wooden Board * 4 Needles * A bunch of Needles/pins * A3 Size paper Procedure: 1. We took a wooden board and 4 needles‚ which we hammered to the 4 corners of the board. 2. We
Free Magnetic field Magnetism Magnet
Directed Line Segment: VECTORS • A line segment with direction is called a directed line segment. • If ‘A’ and ‘B’ are two distinct points in the space‚ then the ordered pair (A‚ B) is called as a directed line segment and is denoted by """""# . ! • In """""# ‚ ‘A’ is called initial point and ‘B’ is called terminal ! point of """""# . ! • The distance from ‘A’ to ‘B’ is called the length or magnitude of """""# . The length or magnitude of """""# ! ! is denoted by ’"""""# ’. Thus
Premium Linear algebra
MCV4U0 Vector Applications Name:__________________ Date:______________ 1. A ship sailing on the open sea leaves Port A for Port B at a bearing of N25oW. A wind of 6 km/h on a bearing of N10oE blows the ship off course. If the ship is capable of 35 km/h in still water‚ find the new speed and direction relative to the shore. 2. A boat is capable of 20 km/h in still water. You wish to cross the river to a point directly across from your present position. At what angle to the bank should
Premium Force Friction Mass
Physics Lab Report#3 “Determining the period of a pendulum” Name: Fei Huo Date performed: October 1st‚ 2014 Period 5 Teacher: Mr. Glasel Purpose: The Purpose of this Lab was so that my classmates and I can examine what kind of factors affect the period of a pendulum. Introduction: In a simple form‚ the pendulum is a weight hung from a long string that Galileo discovered that it can be used to track the passage of time very accurately around 400 years ago. In this
Premium Pendulum Analytic geometry Dimension
In our hypothesis we predicted that the enzymes in the pineapple will denature when the temperature is changed. The prediction was partly correct. Pineapples have special enzymes that denature gelatin molecules. Which is the reason why the pineapple and gelatin test tube remained filled with liquid‚ instead of turning into jelly which gelatin does when it’s molecules are not disturbed. Why our hypothesis was partly incorrect was lacked depth in that when changing the temperature by heating the pineapple
Premium Enzyme Water
each of the following vectors in terms of and (a) (b) (c) (Total 4 marks) 2. The vectors ‚ are unit vectors along the x-axis and y-axis respectively. The vectors = – + and = 3 + 5 are given. (a) Find + 2 in terms of and . A vector has the same direction as + 2 ‚ and has a magnitude of 26. (b) Find in terms of and . (Total 4 marks) 3. The circle shown has centre O and radius 6. is the vector ‚ is the vector and is the vector . (a) Verify
Premium Acceleration Velocity Analytic geometry