PARALLELOGRAM LAW Meaning and
Definition
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The parallelogram law refers to a mathematical relationship and geometrical principle that describes the addition or composition of two vectors in a two-dimensional space. It states that when two vectors are combined, the resultant vector can be determined by constructing a parallelogram from the two vectors, where the diagonal of the parallelogram represents the resultant vector.
More specifically, the parallelogram law states that if two vectors are represented by two adjacent sides of a parallelogram, then the resultant vector can be obtained by drawing the diagonal of the parallelogram that starts from the common endpoint of the two vectors. This resultant vector represents the sum or composition of the original vectors in both magnitude and direction.
The parallelogram law is a fundamental principle in vector addition because it allows for an intuitive and geometric way to visualize vector addition. This law is based on the understanding that vectors are quantities that have both magnitude (length) and direction, and can be added together just like regular numbers.
The parallelogram law is extensively used in various scientific fields, such as physics, engineering, and mathematics, where vectors are commonly encountered. It provides a geometric approach to calculate resultant vectors, allowing for the determination of the net effect or total displacement when multiple forces or quantities are applied simultaneously.
Etymology of PARALLELOGRAM LAW
The word "parallelogram" comes from the combination of two Greek words, "para" meaning alongside or parallel, and "logos" meaning word, discourse, or reason. "Gram" in this context refers to a written or drawn representation. Therefore, "parallelogram" literally means a shape with parallel lines.
The term "parallelogram law" is a mathematical concept derived from the properties of a parallelogram. It is typically used in vector addition to describe how to add two vectors geometrically.
