# Polar Form Of A Vector

In mathematics the polar coordinate system is a two-dimensional coordinate system in which each point on a plane is determined by a distance from a reference point and an angle from a reference direction.. The reference point (analogous to the origin of a Cartesian coordinate system) is called the pole and the ray from the pole in the reference direction is the polar axis.The polar coordinates r (the radial coordinate) and theta (the angular coordinate often called the polar angle) are defined in terms of Cartesian coordinates by x rcostheta (1) y rsintheta (2) where r is the radial distance from the origin and theta is the counterclockwise angle from the x-axis. In terms of x and y r sqrt(x2y2) (3) theta tan(-1)(yx).Polar form is where a complex number is denoted by the length (otherwise known as the magnitude absolute value or modulus) and the angle of its vector (usually denoted by an angle symbol that looks like this ). To use the map analogy polar notation for the vector from New York City to San

Geography. Pertaining to the geographical pole either of two fixed points on the surface of a rotating body or planet at 90 degrees from the equator based on the axis around which a body rotates Pertaining to the polar regions of Earth within the polar circles referred to as the Arctic and Antarctic Polar climate the climate common in polar regionsSo by multiplying an imaginary number by j 2 will rotate the vector by 180 o anticlockwise multiplying by j 3 rotates it 270 o and by j 4 rotates it 360 o or back to its original position. Multiplication by j 10 or by j 30 will cause the vector to rotate anticlockwise by the appropriate amount. In each successive rotation the magnitude of the vector always remains the same.In this section we will introduce polar coordinates an alternative coordinate system to the normal CartesianRectangular coordinate system. We will derive formulas to convert between polar and Cartesian coordinate systems. We will also look at many of the standard polar graphs as well as circles and some equations of lines in terms of polar coordinates.

In this section we will discuss how to the area enclosed by a polar curve. The regions we look at in this section tend (although not always) to be shaped vaguely like a piece of pie or pizza and we are looking for the area of the region from the outer boundary (defined by the polar equation) and the originpole. We will also discuss finding the area between two polar curves.Vector is a character in the Yu-Gi-OhZEXAL anime. An Emperor from Barian World he manipulated Dr. Faker and Vetrix to fulfill his own ambition of destroying Astral World.After his first defeat at the hands of Yuma Tsukumo Reginald Kastle and Kite Tenjo he orchestrated a new scheme by taking on a human form on Earth and calling himself Ray Shadows (Rei Shingetsu in the Japanese version) as Easy to use online maths calculators and solvers for various topics. These may be used to check homework solutions practice and explore with various values in order to gain deep understanding of skills and concepts.