Question

What do you understand by unit vector? What is the importance of this?

Answer 1

Answer:

Unit vectors basically tells about the direction of the vector.

It simply means vector is directed along x axis and its magnitude is 2 that means it travels a distance of two times the magnitude of unit vector.

It represents spatial direction of the particular quantity.

Any vector quantity can be represented by product of its magnitude with unit vector.

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Answer 2

Step-by-step explanation:

A unit vector is a vector of length 1, sometimes also called a direction vector (Jeffreys and Jeffreys 1988). The unit vector v^^ having the same direction as a given (nonzero) vector v is defined by

v^^=(v)/(|v|),

where |v| denotes the norm of v, is the unit vector in the same direction as the (finite) vector v. A unit vector in the x_n direction is given by

x_n^^=((partialr)/(partialx_n))/(|(partialr)/(partialx_n)|),

where r is the radius vector.

When considered as the ith basis vector of a vector space, a unit vector may be written e_i (or e^->_i).

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