the unit vector of b is
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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": {\displaystyle {\hat {\imath }}}{\hat {\imath }} (pronounced "i-hat").
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": {\displaystyle {\hat {\imath }}}{\hat {\imath }} (pronounced "i-hat").The term direction vector is used to describe a unit vector being used to represent spatial direction, and such quantities are commonly denoted as d; 2D spatial directions represented this way are numerically equivalent to points on the unit circle. The same construct is used to specify spatial directions in 3D, which are equivalent to a point on the unit sphere...
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