Given a complex number ( z = 5 + 3i ), find the magnitude and argument of ( z ).

Question

Accepted Answer

Step:1 ：Step 1: Calculate the magnitude of ( z ) using the formula ( |z| = sqrt{a^2 + b^2} ) where ( a ) is the real part and ( b ) is the imaginary part of ( z ). So, ( |z| = sqrt{5^2 + 3^2} )Step:2 ：Step 2: Calculate the argument of ( z ) using the formula ( arg(z) = arctanleft(frac{b}{a}right) ). So, ( arg(z) = arctanleft(frac{3}{5}right) )

Answer

Step: 1 ：Step 1: Calculate the magnitude of ( z ) using the formula ( |z| = sqrt{a^2 + b^2} ) where ( a ) is the real part and ( b ) is the imaginary part of ( z ). So, ( |z| = sqrt{5^2 + 3^2} )Step: 2 ：Step 2: Calculate the argument of ( z ) using the formula ( arg(z) = arctanleft(frac{b}{a}right) ). So, ( arg(z) = arctanleft(frac{3}{5}right) )

Given a complex number $z = 5 + 3 i$ , find the magnitude and argument of $z$ .

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Popular Problems

Given a complex number z=5+3i, find the magnitude and argument of z.

Answer

Popular Problems

Given a complex number $z = 5 + 3 i$ , find the magnitude and argument of $z$ .