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In mathematics, a unit vector in a normed vector space is a vector (often a spatial vector) of length 1. A unit vector is often denoted by a lowercase letter with a circumflex, or "hat", as in ^ (pronounced "v-hat"). The term normalized vector is sometimes used as a synonym for unit vector. The normalized vector û of a non-zero vector u is the ...
Milli (symbol m) is a unit prefix in the metric system denoting a factor of one thousandth (10 −3). [1] Proposed in 1793, [2] and adopted in 1795, the prefix comes from the Latin mille, meaning one thousand (the Latin plural is milia). Since 1960, the prefix is part of the International System of Units (SI).
The myriameter [147] (sometimes also spelled myriometer; 10,000 meters) is a deprecated unit name; the decimal metric prefix myria-[98] (sometimes also written as myrio-[148] [149] [150]) is obsolete [99] [100] [101] and was not included among the prefixes when the International System of Units was introduced in 1960.
The prefix symbols are always prepended to the symbol for the unit without any intervening space or punctuation. [9] This distinguishes a prefixed unit symbol from the product of unit symbols, for which a space or mid-height dot as separator is required. So, for instance, while 'ms' means millisecond, 'm s' or 'm·s' means metre-second.
A unit vector is any vector with a length of one; normally unit vectors are used simply to indicate direction. A vector of arbitrary length can be divided by its length to create a unit vector. [14] This is known as normalizing a vector. A unit vector is often indicated with a hat as in â.
Cartesian y-axis basis unit vector unitless kinetic energy: joule (J) wave vector: radian per meter (m −1) Boltzmann constant: joule per kelvin (J/K) wavenumber: radian per meter (m −1) stiffness: newton per meter (N⋅m −1) ^ Cartesian z-axis basis unit vector
A three-dimensional vector can be specified in the following form, using unit vector notation: = ^ + ȷ ^ + ^ where v x, v y, and v z are the scalar components of v. Scalar components may be positive or negative; the absolute value of a scalar component is its magnitude.
In the natural sciences, a vector quantity (also known as a vector physical quantity, physical vector, or simply vector) is a vector-valued physical quantity. [ 1 ] [ 2 ] It is typically formulated as the product of a unit of measurement and a vector numerical value ( unitless ), often a Euclidean vector with magnitude and direction .