Скачать или смотреть 11th Maths KPK Exercise 1.2 Q6: Verify Properties of modulus in Complex Numbers

11th Maths KPK Exercise 1.2 Q6: Verify Properties of modulus in Complex Numbers
Exercise 1.2 Question 6:
Show that for all complex numbers z1 and z2
|z_1 z_2 |=|z_1 ||z_2 |
|z_1/z_2 |=|z_1 |/|z_2 | , where z2 ≠ 0
11th Maths KPK,
Chapter 1,
Mathematics,
Exercise 1.2,
Chapter 1,
Complex Numbers,
Question 6:,
Show that for all complex numbers z1 and z2,
|z_1 z_2 |=|z_1 ||z_2 | ,
|z_1/z_2 |=|z_1 |/|z_2 | , where z2 ≠ 0Conjugate of Complex numbers,
Properties of modulus,
Modulus of (z1Z2),
Modulus of z1,
Modulus of z2,
Modulus of (z1/z2),
Properties of Complex Numbers,
(i) Properties of addition,
A-1 Addition is commutative,
A-2 Addition is associative,
(ii) Properties of multiplication,
M-1 Multiplication is commutative,
M-2 Multiplication is associative,
M-A Multiplication is distributive over addition,
Additive and multiplicative identity,
Additive and multiplicative inverse,
Complex Numbers,
Equality of Complex Numbers,
Addition of Complex Numbers,
Subtraction of Complex Numbers,
Multiplication of Complex Numbers,
Division of Complex Numbers,
World of Engineering Knowledge,
Absolute Value of Complex Numbers,
Modulus of Complex Numbers,
World of Engineering Knowledge,