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# what is modulus of complex no. give full explaination with example

22 Points
11 years ago

Hi Amit,

The Modulus of complex Number x + iy is the distance of the Point(x,y) from the origin in the complex plane.

Basically if u represent a point (x.y) as a vector from origin in complex plane then modulus gives the magnitude of that vector. We need to represent complex numbers in vector forms as calculations or equations Involving several complex numbers become easy in this representation. Then we need to calculate the magnitude or length of these vectors and hence need to calculate the modulus.

Its Value is given by Root(x2 + y2). Its always a postive quantity and scalar quantity.

For ex: z = 3 + i4 , then Modulus of z is root( 32 + 42 ) = root(25) = 5