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Worksheet: Modulus of a Complex Number
Q3:
If and , what is the modulus of ?
Q4:
What is the modulus of the complex number ?
Q5:
Given that , where and , write in algebraic form and hence find .
- A ,
- B ,
- C ,
- D ,
Q6:
Given that , determine .
Q7:
Given that , find .
- A
- B
- C
- D
- E
Q8:
What is the modulus of the complex number ?
Q9:
Find the modulus and the principle amplitude of the number .
- A , principle amplitude
- B , principle amplitude
- C , principle amplitude
- D , principle amplitude
Q10:
Find the modulus and the principle amplitude of the number .
- A , principle amplitude
- B , principle amplitude
- C , principle amplitude
- D , principle amplitude
Q11:
Given that , find .
- A
- B
- C
- D3
- E
Q12:
What is the modulus of the complex number ?
- A
- B3
- C1
- D
- E10
Q13:
What is the modulus of the complex number , where and are real?
- A
- B
- C
- D
- E
Q14:
Given the complex number , what is the modulus of ?
- A
- B
- C
- D
- E
Q15:
What is the modulus of the complex number ?
- A
- B3
- C7
- D
- E58
Q16:
Find the modulus and the principle amplitude of the number .
- A , principle amplitude
- B , principle amplitude
- C , principle amplitude
- D , principle amplitude
Q17:
Given that , determine .
- A
- B
- C
- D
Q18:
If , where is a complex number, what is ?
- A
- B0
- C2
- D1
Q19:
Find the modulus and principal amplitude of the complex number .
- A2,
- B ,
- C ,
- D2,
Q20:
Find the modulus and the principal amplitude of the number .
- A , principal amplitude
- B , principal amplitude
- C , principal amplitude
- D , principal amplitude
Q21:
Given that , where and , write in algebraic form and hence find .
- A ,
- B ,
- C ,
- D ,
Q22:
What is the magnitude of the product of and ?
- A
- B
- C
- D
- E
Q23:
Given that , find .