Concept of rotation:
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If z and z' are two different complex numbers then argument of z/z' is the angle through which Oz' have to be turned in order that it can lie along Oz.
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In general, suppose z1, z2, z3 , be the three vertices of a triangle ABC defined in the counter-clock wise sense. Represent OP and OQ parallel and same to AB and AC respectively. Then the point P is z2 - z1 and Q is z3 - z1 and
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Note that arg. (z3-z1)-arg(z2-z1) = a is the angle through which OP have to be rotated in the anti-clockwise direction so that it turns into parallel to OQ.
Here we may write 
also. In that case we are moving OP in clockwise direction by an angle (2Π - a). Since the revolution is in clockwise direction, we are placing negative sign with angle (2Π - a)
Example: Suppose a square ABCD such that z1, z2, z3 and z4 show its vertices A, B, C and D respectively. Express 'z3' and 'z4' in related terms of z1 and z2 .
Solution: Suppose the rotation of AB about A through an angle Π/4, we obtain
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