Unit Vector parallel to Given Vector
Unit vectors is a vector whose magnitude is one unit. Unit vector parallel to the given vector is the vector whose magnitude is one and in the same direction as given vector. To find unit vector parallel to the given vector divide the given vector with its magnitude as
â = a / |a|, where |â|=1
Therefore, the vector â is a unit vector parallel to given vector a, obtained by dividing the given vector a with its own magnitude.
Parallel Vector
Parallel vectors are considered one of the most important concepts in vector algebra. When two vectors have the same or opposite direction, they are said to be parallel to each other. Note that parallel vectors can differ in magnitude, and two parallel vectors can never intersect each other. They are widely used in mathematics, physics, and other areas of engineering for defining lines and planes, representing force and velocity, and analyzing various structures.
In this article, we will learn about parallel vectors, the dot product, and the cross product of parallel vectors, as well as their properties, in detail.
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