SOLUTION: Let 𝐶: 𝑧(𝑡) = 4 + 3𝑖𝑡 , 0 ≤ 𝑡 ≤ 3. What is the length of 𝐶?

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson  -> Lesson -> SOLUTION: Let 𝐶: 𝑧(𝑡) = 4 + 3𝑖𝑡 , 0 ≤ 𝑡 ≤ 3. What is the length of 𝐶?      Log On


   

Question 1207255: Let 𝐶: 𝑧(𝑡) = 4 + 3𝑖𝑡 , 0 ≤ 𝑡 ≤ 3. What is the length of 𝐶?
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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C(t) does represent a segment in a complex plane, which starts at the point (4,0) and ends at the point (4,9i).


It is a vertical segment, and its length is the increment of y-coordinate, which is 9 units.


ANSWER.  The length of C(t) is 9 units.

Solved.