Here you will learn how to find image of a point in a plane formula with examples. Let’s begin – Image of a Point in a Plane Let P and Q be two points and let \(\pi\) be a plane such that (i)  line PQ is perpendicular to the plane \(\pi\) and, (ii) mid-point of

Here you will learn how to find equation of plane containing two lines with examples. Let’s begin – Equation of Plane Containing Two Lines (a) Vector Form If the lines \(\vec{r}\) = \(a_1 + \lambda\vec{b_1}\) and \(\vec{r}\) = \(a_2 + \mu\vec{b_2}\) are coplanar, then \(\vec{r_1}\).(\(\vec{b_1}\times \vec{b_2}\)) = \(\vec{a_2}\).(\(\vec{b_1}\times \vec{b_2}\))  or,   [\(\vec{r}\) \(\vec{b_1}\) \(\vec{b_2}\)] = [\(\vec{a_2}\)

Here you will learn how to find intersection of a line and a plane with examples. Let’s begin –  Intersection of a Line and a Plane Let the equation of a line be \(x – x_1\over l\) = \(y – y_1\over m\) = \(z – z_1\over n\) and that of a plane be ax +

Here you will learn formula to find angle between a line and a plane with examples. Let’s begin – Angle Between a Line and a Plane The angle between a line and a plane is the complement of the angle between the line and normal to the plane (a) Vector Form The angle \(\theta\) between

Here you will learn how to find distance between parallel planes with examples. Let’s begin – Distance Between Parallel Planes Let ax + by + cz + \(d_1\) = 0 and ax + by + cz + \(d_2\) = 0 be two parallel planes. In order to find the distance between them, we may follow

Here you will learn how to find the distance of a point from a plane formula with examples. Let’s begin – Distance of a Point from a Plane (a) Vector Form The length of the perpendicular from a point having position vector \(\vec{a}\) to the plane \(\vec{r}\).\(\vec{n}\) = d  is p = \(|\vec{a}.\vec{n} – d|\over