# Absolute value of a vector

Definition : The absolute value of a vector is the length of the line segment representing the vector geometrically. The magnitude of the vector represented by the line segment AB i.e. is the length of the line segment AB. It is written as . If = (x,y) be any vector then its absolute value is given by Similarly, the absolute value of a space vector is given by . If the coordinates of any point P are (x,y,z) then the absolute value of the position vector of P i.e. is OP =