Question

Explain why the “absolute value” of (3, 4) is the same as the “absolute value” of (4, 3).

Answer 1

Answer:

The distance from the origin to the point is the absolute value of that complex number. The distance formula says the distance from the original to any point (x,y) is sqrt(x2 + y2), so the absolute value of 3+4i = sqrt(32 + 42) = 5.