Some Important Points Of Normal Form Of Straight Line
The normal form of a straight line is an equation in the form of x cos(theta) + y sin(theta) = p, where p is the perpendicular distance from the origin to the line, and theta is the angle made by the perpendicular from the positive x-axis.
The normal form of a straight line is unique and can be used to represent any straight line in a two-dimensional space.
The coefficients cos(theta) and sin(theta) in the equation of the normal form represent the direction of the line, and their ratio gives the slope of the line.
The normal form of a straight line is also known as the Hesse normal form or the polar form of the line.
The normal form of a straight line is useful in various applications such as computer graphics, image processing, and pattern recognition.
To convert the normal form of a straight line to the slope-intercept form, we can divide both sides of the equation by sin(theta) and then rearrange the terms to get y = (-cos(theta) / sin(theta)) x + (p / sin(theta)).
The normal form of a straight line can be used to determine the shortest distance between a point and a line, and also to find the intersection of two lines.
