Lines and planes in space

We study the different phenomena happening around us by using a 3D coordinate system. It has become crucial to study the behaviour of line, area, and volume elements in the 3D Cartesian coordinate system.  The direction ratio tells us the orientation of a line segment with respect to the coordinate axes. We can draw a […]

Introduction The direction ratio of a vector and direction cosines are two essential concepts in three-dimensional geometry that are intricately related. In this article, we’ll get the direction cosines of a line that passes through the origin and intersects the coordinate system’s axes at right angles. Again, your ability to solve issues will aid in

Introduction  The fundamental notions that underlie 3D geometry include  direction ratios and direction cosines. What are the direction cosines of lines that pass through the centre of the line that creates angles when compared with an axis of coordinates? This direction ratios and direction cosines study material will help you comprehend the concept of direction

The length of the line segment connecting the specified coordinates can be used to compute the distance between two points in coordinate geometry.The study of geometric figures using coordinate axes is known as coordinate geometry. Straight lines, curves, circles, ellipses, hyperbolas, and polygons can all be readily drawn and scaled in the coordinate axes. Furthermore,

What do you mean by the distance between two parallel lines? It refers to the space between two straight lines lying parallel to each other. In other terms, it indicates how far these two lines are located from one another but parallel. When you join or connect two points, a line is formed which is

A plane is a flat, two-dimensional surface that extends to infinity in mathematics. Planes can appear as subspaces of a multidimensional space, such as one of the room’s endlessly expanding walls, or they can exist independently, as in the case of Euclidean geometry. Parallel planes and intersecting planes are the two types of planes. Parallel

Distance is a mathematical term that describes how far two points in a two-dimensional space are apart. One of the essential mathematical quantities is this parameter. It’s used to simulate things like a moving body’s velocity, the amount and direction of electrical and gravitational forces, and signal processing in advanced mathematics and physics. Let’s take

The distance formula is a method for calculating the distance between two places. These points can be of any size and in any dimension. You might want to find the distance between two points on a line (1d), two points in a plane (2d), or two locations in space (2d), for example (3d). Many forms

In the distance formula, we usually find the distance between two points on a plane. But in this topic, we will discuss the distance from a point to a plane. The distance formula tends to be used when you know the coordinates of the points. We need to substitute the formula to find the two

According to Euclidean geometry, the distance from a point to a line is the smallest distance between two points on an infinite straight line. The length of the line segment from the point to the nearest point on the line is the smallest distance from that point, which is perpendicular to the line. The formula