When a vertical line is intersected which is defined as the y-axis by the horizontal line which is defined as the x-axis a plane known as a coordinate plane which is two-dimensional is formed. We can also define a coordinate plane as a two-dimensional space or region which is formed with the help of two straight lines. A coordinate graph is also regarded as a coordinate plane that consists of axes (number lines) that are perpendicular to each other and run towards them. In this article, we may try to cover some interesting topics related to coordinate planes such as important points and quadrants of the plane in a brief manner.
In mathematics, we generally define vectors as an object which has both the entities, magnitude, and direction. Magnitude is the amount of intensity or size that is being defined by the vector, similarly, the direction is the length of the line which is expressed or represented by the help of an arrow. There are various different terms of vectorssuch as Euclidean vector or spatial vector or geometric vector and is simply known as vector.
If the direction is given or the magnitude of the vector is exactly the same, then the two vectors are said to be equal.
The coordinate plane is a type of plane which is formed by the collision or intersection of horizontal and vertical lines. There are various significant points related to coordinate planes. The following points mentioned below analyses the important points of the coordinate plane;
- The first quadrant is known as the positive quadrant ( +,+ ) which is basically represented or expressed by the Roman numeral 1.
- The second quadrant is known as the negative-positive quadrant (-, +) which is basically represented or expressed by the Roman numeral 2.
- The third quadrant is known as the positive-negative quadrant ( +, -) which is basically represented or expressed by the Roman numeral 3.
- The fourth quadrant is known as the negative quadrant ( -, -) which is basically represented or expressed by the Roman numeral 4.
When you see a bar graph or a coordinate graph, you will find that all these quadrants are written in enclosed brackets.
Vectors can be generally defined as objects which have two entities, magnitude, and direction. In the passage coming below, you will get to know various different types of vectors and their properties. Some of the vectors are as follows;
- A vector having zero amount of magnitude or having no direction forward or backward can be considered as a zero vector. This property is also known as the additive identity or property of vectors.
- A vector having the magnitude of 1 and also having a direction is known as a unit vector. This type of vector is also used to denote the direction for the vectors. This property is also known as the multiplicative vector identity.
- A vector that is used in order to find the direction and intensity of the movement of vectors can be defined as a position vector. The position vector is also known as the location vector. The reason for giving this term is self-explanatory.
- Equal vectors are the vectors when both the entities; magnitude and direction are equal. They may have other initial and ending points but entities are always equal.
- When we compare two vectors, if the direction of vectors is different from each other, then the vector is said to be a negative vector.
- When we compare two vectors, if the direction of the vector is the same but the magnitude is different, then it is said to be a parallel vector.
- If the angle between two vectors is 90 degrees, then a vector is said to be an orthogonal vector.
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