Angle and absolute value of complex numbers

Now Playing:Angle and absolute value of complex numbers – Example 1a

Given the complex number $z=2+3i$
1. Find its absolute value
  
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2. Find the angle it makes in the complex plane in radians
  
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Given the complex number $w=5i-3$
1. Find its modulus
  
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2. Find its argument in radians
  
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Given that a complex number $w$ makes an angle $\theta=\frac{3\pi}{4}$ in the complex plane and has an absolute value $|w|=5$ , write the complex number w in rectangular form.

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