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UNIT VECTOR-FREE VECTOR-POSITION VECTOR-NULL VECTOR

UNIT VECTOR-FREE VECTOR-POSITION VECTOR-NULL VECTOR
	UNIT VECTOR
	“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. “
	A unit vector is denoted by any small letter with a symbol of arrow hat ().
	A unit vector can be determined by dividing the vector by its magnitude.
	For example unit vector of a vector A is given by:
	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.
	FREE VECTOR
	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.
	POSITION VECTOR
	A vector 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 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.
	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:
	NULL VECTOR
	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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