Vector magnitude, often referred to as the length or size of a vector, is a measure of how much of a quantity is described by the vector, independent of its direction. It is calculated as the square root of the sum of the squares of its components, representing the Euclidean distance from the origin to the point defined by the vector in space.

Vector Magnitude

Vector magnitude

Length of a vector

size of a vector

Measure of quantity

calculated as the square root

sum of the squares

Components Of A Vector

Euclidean distance is a measure of the straight-line distance between two points in Euclidean space, commonly used in mathematics, physics, and computer science to quantify the similarity between data points. It is calculated as the square root of the sum of the squared differences between corresponding coordinates of the points, making it a fundamental metric in various applications such as clustering and spatial analysis.

Euclidean distance

Origin in space

point defined by the vector

Relevant Degrees

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