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Number · UNI_BRIDGE
Complex numbers basics
Foundation
Core
Stretch
Question 1/8
+12 XP
Find the modulus of
z
=
−
4
−
2
i
.
Adding vectors
a + b = (5, 4)
-2
-1
0
1
2
3
4
5
6
7
-1
1
2
3
4
5
x
y
a
=
(
4
,
1
)
b
=
(
1
,
3
)
a
+
b
=
(
5
,
4
)
a
+
b
=
(
4
+
1
,
1
+
3
)
=
(
5
,
4
)
a = (4, 1)
b = (1, 3)
a + b = (5, 4)
translated copies
Attach b to the tip of a (or a to the tip of b) and you land on the same point: the dashed copies close the parallelogram. Addition happens componentwise — 4 + 1 = 5 across, 1 + 3 = 4 up.
Your answer
Hint 1/3
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