magnitude
the size of the push or pull
Magnitude is a term used in physics to describe the size or amount of a physical quantity such as force, energy, or voltage. It is a scalar value that represents the magnitude or absolute value of a vector. Magnitude can be measured in different units depending on the physical quantity being measured. For example, force can be measured in Newtons, energy in joules, and voltage in volts.
In mathematical terms, magnitude is defined as the length or size of a vector in a vector space. It is calculated using the Pythagorean theorem, which states that the length of a vector is equal to the square root of the sum of the squares of its components. For example, the magnitude of a two-dimensional vector (x, y) is given by:
|v| = sqrt(x^2 + y^2)
Similarly, the magnitude of a three-dimensional vector (x, y, z) is given by:
|v| = sqrt(x^2 + y^2 + z^2)
Magnitude is an important concept in physics as it allows us to quantify and compare the strength or amount of different physical quantities.
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