Lines and planes in space

The Coordinate System A coordinate system is a system in geometry that employs one or more integers, or coordinates, to define the location of points or other geometric components on a manifold, such as the Euclidean space, in a unique way. The order of the coordinates is important, and they can be recognised by their […]

Coplanarity of Two Lines Coplanar lines are parallel or intersecting lines sharing the same plane. It is used to determine coplanarity conditions for two lines having the vector and Cartesian forms. This lesson also includes a solved example to ensure you can better understand the concepts discussed in this topic. Consider the following terms that

Lines that are coplanar are those that lay on the same plane as one another.  Use the condition both in vector form and in Cartesian form to demonstrate that two lines lie on the same plane. In three-dimensional geometry, a typical issue that is covered is that of coplanar lines.  Coplanarity is a situation that

Lines that are in the same plane are coplanar. These lines are said to be in the same three-dimensional space. Coplanarity of two lines is proved using the condition in vector form and cartesian form. In a 3-dimensional space-  Two lines are coplanar if there is a plane that includes them both. This is possible

The word “corresponding” implies that the angles can be comparable or in equivalent (congruent). Surprisingly, the transversal that meets two parallel lines forms equivalent angles that are congruent. The corresponding angles are not equivalent when the transversal connects two non-parallel lines. When two lines are crossed by another line in plane geometry, corresponding angles are

If you cut a watermelon by its middle, then the upper red surface will be its cross section, you can also see in the given figures (Example of cross section). So, these are some examples of the cross-section. I hope your understanding is getting clear about this topic after seeing the pictures. Now we are

A cross section shows how an object intersects with a plane along its axis. When a solid (such as a cone, cylinder, or sphere) is divided by a plane, a cross-section is formed. A circle is formed when a cylinder-shaped object is divided in half with a plane parallel to its base. As a result,

In our day-to-day life, we have seen many objects like lunch boxes, bangles, a tabletop, chalk, dice, and so on and so forth. A majority of these objects have a similar shape. Actually, a majority of these items are formed from six square planes of square planes. In mathematics, the shape of those objects can be a cuboid or cube. Right here, in this article, we are able to analyse the distinction between cube and cuboid. The shape is the geometric figure of any object. Three-dimensional shapes are those figures which

As we saw earlier, if we take the number x, the cube root y of the number x will be that number that has to be multiplied three times to get the number x. If we have to represent it using mathematics, x=y × y × y x=y3 So y=3√x So we can write that

Cube Number The result of multiplying an integer by the same integer three times is known as a cube number. Perfect cubes are another name for cube numbers. As a result, a cube number is a number with the exponential power of three, or a number multiplied three times.  In geometry, the volume of a