Complex Numbers
Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths.
FP1 Complex Numbers (Edexcel Further Pure Maths)
Basics - video on powers of i
Complex Numbers : Addition, Subtraction and Multiplication
Example:
z1 = 3 + 2i
z2 = 4 - 3i
Find:
1) z1 + z2
2) z1 - z2
3) 5z1
4) i2
5) z1z2
Expand the following:
1) i3
2) i4
3) 2i8 - (3i)2
4) (3 - 2i)4 FP1 Edexcel January 2013 Q2
Example:
z = 50/(3 + 4i)
Find in the form ai + b where a,b ∈ ℝ,
(a) z
(b) z2
Find
(c) |z|
(d) arg z2, giving your answer in degrees to 1 decimal place.
FP1 Complex Numbers (Edexcel Further Pure Maths)
Basics - video on powers of i
Example:
z1 = 3 + 2i
z2 = 4 - 3i
Find:
1) z1 + z2
2) z1 - z2
3) 5z1
4) i2
5) z1z2
Expand the following:
1) i3
2) i4
3) 2i8 - (3i)2
4) (3 - 2i)4 FP1 Edexcel January 2013 Q2
Example:
z = 50/(3 + 4i)
Find in the form ai + b where a,b ∈ ℝ,
(a) z
(b) z2
Find
(c) |z|
(d) arg z2, giving your answer in degrees to 1 decimal place.
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