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UNIT
VECTOR
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"A
unit vector is defined as a vector in any specified direction whose magnitude
is unity i.e. 1. A unit vector only specifies the direction of a given vector. " |
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A
unit vector is denoted by any small letter with a symbol of arrow hat
( ). |
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A unit vector can be determined by dividing the vector by its magnitude. | |||
| For example unit vector of a vector A is given by: | ||||
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In
three dimensional coordinate system unit vectors 
having the direction of the positive X-axis, Y-axi and Z-axis are used as
unit vectors.These unit vectors are mutually perpendicular to each other. |
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FREE
VECTOR
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| A vector that can be displaced parallel to itself and applied at any point is known as a FREE VECTOR. | ||||
| A free vector can be specified by giving its magnitude and any two of the angles between the vector and coordinate axes. | ||||
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POSITION
VECTOR
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| Avector that indicates the position of a point in a coordinate system is referred to as POSITION VECTOR. | ||||
| Suppose we have a fixed reference point O, then we can specify the position the position of a given point P with respect to point O by means of a vector having magnitude and direction represented by a directed line segment OP .This vector is called POSITION VECTOR. | ||||
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| In a three dimensional coordinate system if O is at origin then,O(0,0,0) and P is any point say P(x,y,z) | ||||
| in this situation position vector of point P will be: | ||||
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NULL
VECTOR
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A
null vector is a vector having magnitude equal to zero.It is represented
by  .
A null vector has no direction or it may have any direction. Generally a
null vector is either equal to resultant of two equal vectors acting in
opposite directions or multiple vectors in different directions. |
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