How do you find abs( 14i )?

2 Answers
Apr 4, 2016

|14i| = 14

Explanation:

Given a complex number a+bi, the modulus |a+bi| of the complex number is given by

|a+bi| = sqrt(a^2+b^2)

In this case, we have

|14i| = |0+14i| = sqrt(0^2+14^2) = 14

Note that in general, for any binRR, we have |bi| = sqrt(b^2) = |b|

Apr 4, 2016

14

Explanation:

|ab|=|a||b|.
i is unit vector in the direction of the axis of imaginaries. |i|=1.