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NEILS BOHR
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Homework Statement
let z , w be complex nos. such that z + i ( conjugate of w ) = 0 and zw = pi . Then find arg z..
Homework Equations
The Attempt at a Solution
well i m unable to understand wat is meant by zw=pi...
The argument of a complex number is the angle between the positive real axis and the vector representing the complex number in the complex plane. It is measured in radians or degrees and can be positive or negative.
To find the argument of a complex number given its equations, first represent the complex number in the form a + bi, where a is the real part and bi is the imaginary part. Then, use the formula arctan(b/a) to find the argument in radians. If you want the answer in degrees, you can convert it by multiplying by 180/π.
Yes, the argument of a complex number can be negative. This happens when the complex number is located in the third or fourth quadrant of the complex plane, where the angle is measured clockwise from the negative real axis.
The range of possible values for the argument of a complex number is -π to π (or -180° to 180°). This range covers all possible angles in the complex plane, including positive and negative values.
No, the argument of a complex number cannot be greater than 360°. This is because the complex plane is a two-dimensional space and therefore, the maximum angle that can be formed is 360°. Any angle greater than this would just be a rotation of the same angle.