Question #51657

Given
z1 = 3+5j
z2 = 6-3j
z3 = -5+4j

plot the following on an argand diagram
z1 + z2
z2 - z3
z3 - z1
z1 + z3
1

Expert's answer

2015-04-01T09:11:52-0400

Answer on Question #51657 - Math - Complex Analysis

z1=3+5jz1 = 3 + 5jz2=63jz2 = 6 - 3jz3=5+4jz3 = -5 + 4j


plot the following on an Argand diagram


z1+z2z1 + z2z2z3z2 - z3z3z1z3 - z1z1+z3z1 + z3

Solution

z1+z2=3+5j+63j=9+2jz1 + z2 = 3 + 5j + 6 - 3j = 9 + 2jz2z3=63j(5+4j)=117jz2 - z3 = 6 - 3j - (-5 + 4j) = 11 - 7jz3z1=5+4j(3+5j)=8jz3 - z1 = -5 + 4j - (3 + 5j) = -8 - jz1+z3=3+5j5+4j=2+9jz1 + z3 = 3 + 5j - 5 + 4j = -2 + 9j


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