explain the concept of octants by three perpendicular plains in space
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Answer:
Step-by-step explanation:
Three mutually perpendicular lines in space define three mutually perpendicular planes which in turn divide the space into eight parts known as octants and the lines are known as the coordinate axes. ... Through P draw three planes parallel to the coordinate planes to meet the axes in A, B and C respectively.
Answer:
The correct answer is explained below.
Step-by-step explanation:
In three-dimensional space, the concept of octants refers to the division of space into eight regions or sections. These regions are created by the intersection of three perpendicular planes, which are also known as coordinate planes or axes. The three planes are the x-y plane, the y-z plane, and the x-z plane, which intersect each other at right angles to create eight regions or octants.
Each octant is identified by its position relative to the three axes, and we use the signs of the coordinates to label them. For example, the first octant (I) is located in the positive direction of all three axes, while the seventh octant (VII) is located in the negative direction of all three axes.
The concept of octants is important in mathematics, physics, and engineering, as it helps to visualize and analyze three-dimensional objects and systems. Understanding the octants is essential for understanding the behavior of objects and systems in three-dimensional space. It also plays a crucial role in graphing and plotting three-dimensional data, which is essential in many fields, including engineering, physics, and computer graphics.
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