If Z1 = 3+2i & Z2 = 2-3i, then Z1+Z2 =
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Answer:
Z1 + Z2 = 3 +2i + 2 - 3i
= 5 - i
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The value of Z₁+ Z₂ = 5 - i
Given:
Z₁ = 3+2i and Z₂ = 2-3i
To find:
Find the value of Z₁+ Z₂
Solution:
Complex numbers:
- The number which are expressed in the form of a+ib
- where, a,b are real numbers and ‘i’ is an imaginary number
- The value of i = (√-1) and i² = (-1)
Addition of Complex numbers:
- Let z = a+bi and z₁ = c+di are two complex numbers then sum of z and z₁ will be equals to (a+c) + (b+d)i
Given Z₁ = 3+2i and Z₂ = 2-3i
Z₁+ Z₂ = (2+3) + (2-3)i = 5 - i
Therefore, the value of Z₁+ Z₂ = 5 - i
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