Lines and planes in space

The length of the perpendicular to the plane that passes through the given point can be used to calculate the distance between the point and the plane. To put it another way, we could say that the distance between the point and the plane is equal to the length of the normal vector when it […]

The “Divergence Theorem” is the most important theorem in Calculus. This theorem is used to solve a variety of difficult integral problems. The surface integral is compared to the volume integral. It denotes the relationship between the two. This article will go over the divergence theorem statement, proof, Gauss divergence theorem, and instances in depth.

Their characteristics are classified according to their shapes, which are determined by an intriguing element known as eccentricity. The eccentricity of circles is zero, but the eccentricity of parabolas is one. The eccentricities of ellipses and hyperbolas vary. The distance between the centres of two cylindrical objects, one of which surrounds the other, as between

This shape belongs to the conic section and has traits with circles in terms of size, shape, and other qualities. Unlike a circle, which is round in form, an ellipse has an oval shape. The shape of an egg in two dimensions, as well as the running track in a sports stadium, are two fundamental

A circle is a shape made up of all points in a plane that are at the same distance from a central point. It’s the curve drawn out by a point moving in a plane while keeping its distance from a particular point constant. The radius is the distance between any point on the circle

Assume that we know a line that runs from south-west to north-east. In other words, we know the line’s orientation. Is this criteria adequate to identify the line’s uniqueness? No. See how many parallel lines may exist, all flowing from south-west to north-east. As a result, the line is not determined just by its direction.

Mathematically, a plane can be defined as a flat surface that is indefinite or vague. A plane is a two-dimensional surface made up of unlimited points and lines. They have an infinite as well as independent existence. Likewise, the lines and other geometric shapes, a plane also has different equations. The equations of a plane

In the plane, a curve surrounds the two focal points so that the distances to the focal points are constant at all points on the curve. Circles are thought to be special types of ellipses that have their points of focus in the same place. Lines crossing each other at a point on an ellipse

When you look at an object, you see a figure called a shape. This figure shows the object’s surface, boundaries, and lines. Everything in our environment comes in a variety of shapes and sizes. Consider yourself on one side of a circular lake, looking across to the opposite side’s fishing pier. The chord is the

Unscientific techniques of measurement were utilised in the past, such as placing objects next to each other to compare lengths, pouring liquids, and weighing in the hand to determine which was heavier. The French government implemented the decimal system of measuring in 1799, followed by the International system of measurement in 1939. The length is