A unit vector is a vector with a magnitude of 1 and is used to indicate direction in a specific coordinate system.
The direction of a unit vector is determined by the coordinates of its endpoint, which can be represented as a ratio of its components. This ratio is known as the direction cosines.
Unit vectors do not have signs, as they are used to indicate direction rather than quantity.
To find the components of a unit vector, you can use the direction cosines to determine the ratios of its coordinates. These ratios can then be multiplied by the magnitude of the vector to find the components.
No, by definition, a unit vector must have a magnitude of 1. If the magnitude of a vector is not 1, it is not considered a unit vector.