MATH 2400 Lecture 9: ch9
22 Apr 2019
School
Department
Course
Professor
Document Summary
The cartesian product ir x ir x ir= {(x,y , z)lx ,y,z ei~} is the set of all ordered triples of real numbers and is denoted by jr3 . It is called a three-dimensional rectangular coordinate sys- Co . ,-{ e a 3d coordinate system source - wikimedia. org source - wikimedia. org. It has a fixed point o (the origin) , and 3 directed lines through o that arc perpendicular to each other, called the coordinate axes and labeled the x-axis, y-axis, and z-axis. The direction of z-axis is determined by the right-hand-rule. There is a one-to-one correspondence between the points pin space and ordered triples (a, b, c) e jr3 . ~(j:;;j,lj i 1=i =01 i:. 6f f (:t-,o ,o) \ :x. o-\ (. /t11. /i. oj. The 3 coordinate axes dtermine the 3 coordinate planes: The 3 coordinate planes divide space into 8 parts, called octant& First octant= {(x, y, z)lx > 0, y > 0, z > o}.
