Here you will learn what is the equation of plane passing through intersection of two planes with examples. Let’s begin – Equation of Plane Passing Through Intersection of Two Planes (a) Vector Form The equation of a plane passing through the intersection of the planes \(\vec{r}.\vec{n_1}\) = \(d_1\)  and \(\vec{r}.\vec{n_2}\) = \(d_2\) is given by […]

Here you will learn equation of plane parallel to plane with examples. Let’s begin –  Equation of Plane Parallel to Plane (a) Vector Form Since parallel planes have the common normal, therefore equation of a plane parallel to the plane \(\vec{r}\).\(\vec{n}\) = \(\vec{d_1}\) is \(\vec{r}\).\(\vec{n}\) = \(\vec{d_2}\) where \(\vec{d_2}\) is constant determined by the given

Here you will learn how to find angle between two planes formula with examples. Let’s begin – Angle Between Two Planes Formula The angle between two planes is defined as the angle between their normals. (a) Vector Form The angle \(\theta\) between the planes \(\vec{r}\).\(\vec{n_1}\) = \(\vec{d_1}\) and \(\vec{r}\).\(\vec{n_2}\) = \(\vec{d_2}\) is given by \(cos\theta\)

Here you will learn equation of plane in normal form with example. Let’s begin – Equation of Plane in Normal Form (a) Vector Form  The vector equation of a plane normal to unit vector \(\hat{n}\) and at a distance d from the origin is \(\vec{r}.\hat{n}\) = d Remark 1 : The vector equation of ON

Here you will learn what is the equation of plane in vector form with examples. Let begin – Equation of Plane in Vector form The vector equation of a plane passing through a point having position vector \(\vec{a}\) and normal to vector \(\vec{n}\) is  \((\vec{r} – \vec{a}).\vec{n}\) = 0   or,  \(\vec{r}\).\(\vec{n}\) = \(\vec{a}\).\(\vec{n}\). Note 1

Here you will learn intercept form of a plane equation with examples. Let’s begin – Intercept Form of a Plane The equation of a plane intercepting lengths a, b and c with x-axis, y-axis and z-axis respectively is \(x\over a\) + \(y\over b\) + \(z\over c\) = 1 Note : 1). The above equation is

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