Here you will learn the equation of plane passing through three points with example. Let’s begin – Equation of a Plane Passing Through a Given Point The general equation of a plane passing through a point \((x_1, y_1, z_1\)) is \(a(x – x_1) + b(y – y_1) + c(z – z_1)\) = 0, where a, …
Here you will learn what is a plane and what is the general equation of a plane. Let’s begin – What is Plane ? A plane is a surface such that if any two points are taken on it, the line segment joining them lies completely on the surface. In other words, every point on …
Here you will learn condition for the collinearity of points with examples. Let’s begin – Collinearity of Points If the given points lie in the same line, then the given points are collinear otherwise they are non-collinear. Condition for collinearity of three given points Three given points A(\(x_1,y_1\)), B(\(x_2,y_2\)) and C(\(x_3,y_3\)) are collinear if any …
Here you will learn what is the equation of line parallel to a given line with examples. Let’s begin – Equation of Line Parallel to a Line The equation of the line parallel to a given line ax + by + c = 0 is ax + by + \(\lambda\), where \(\lambda\) is a constant. …
Here you will learn what is the equation of a line perpendicular to a line with proof and examples. Let’s begin – Equation of a Line Perpendicular to a Line The equation of a line perpendicular to a given line ax + by + c = 0 is bx – ay + \(\lambda\) = 0, …
Here you will learn normal form of a line equation with proof and examples. Let’s begin – Normal Form of a Line (Perpendicular form of line) The equation of the straight line upon which the length of of the perpendicular from the origin is p and this perpendicular makes an angle \(\alpha\) with x-axis is …
Here you will learn intercept form of a line equation i.e. intercept cut by line on x-axis and y-axis with examples. Let’s begin – Intercept Form of a Line The equation of a line which cuts off intercepts a and b respectively from the x and y-axes is \(x\over a\) + \(y\over b\) = 1. …
Here you will learn two point form of a line equation with proof and examples. Let’s begin – Two Point Form of a Line The equation of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is \(y – y_1\) = (\(y_2 – y_1\over x_2 – x_1\))(\(x_2 – x_1\)) Proof : Let m …
Here you will learn what is the point slope form of a line equation with proof and examples. Let’s begin – What is the Point Slope Form of a Line ? The equation of a line which passes through the point \(P(x_1, y_1)\) and has the slope ‘m’ is \(y – y_1\) = m\((x – …
Here you will learn what is slope intercept form of a line with examples. Let’s begin – What is Slope Intercept Form of a Line ? The equation of a line with slope m and making an intercept on y-axis is y = mx + c Proof : Let the given line intersects y-axis at …
