Info iconThis preview shows page 1. Sign up to view the full content.

View Full Document Right Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: on To construct coordinate systems, we define the To Cartesian product of two sets X and Y as the set X × Y = {(x, y)| x∈X, y∈Y}. With R denoting With {( )| the set of real numbers, we construct some familiar coordinate systems: familiar The two–dimensional Cartesian coordinate system, dimensional called the real plane R2, is defined by the set R × R = {(x, y)| x∈R, y∈R}. {( )| The three–dimensional Cartesian coordinate system, dimensional called the real three–dimensional space R3, iis s called dimensional defined by the set defined R × R × R = {(x, y, z)| x∈R, y∈R, z∈R}. {( )| Scalars Scalars A physical quantity that has the same physical value in any coordinate system is called a scalar. We write a scalar as the product scalar We of a numerical value and a physical unit, not just a number. For example, the distance between two points is 5.3m or the 5.3 temperature of the room is 76º Celsius. 76 2–Dimensional Vectors Recall that we can write a location in the xy– Recall xy plane as the point (Ax, Ay). A 2–dimensional plane dimensional vector A = <Ax, Ay> = Ax î+ Ay ĵ = A @ θ is a vector <A physical quantity that has both magnitude and direction, where the vectors î = <1,0>...
View Full Document

This note was uploaded on 02/10/2010 for the course PHY 2053 taught by Professor Hardy during the Spring '10 term at University of Southern Maine.

Ask a homework question - tutors are online