Using the vectorial representation of complex numbers it is possible to get some interesting inequalities. (a) Is
Question:
Using the vectorial representation of complex numbers it is possible to get some interesting inequalities.
(a) Is it true that for a complex number z = x + jy we have that ∣x∣ ≤ ∣z∣? Show it geometrically by representing z as a vector.
(b) The so called triangle inequality says that for any complex (or real) numbers z and v we have that ∣z + v∣ ≤ ∣z∣ + ∣v∣. Show this geometrically.
(c) If z = 1 + jand v = 2 + jis it true that
(i) |z + v| ≤ |z| + |v|? (ii) |z − v| ≤ |z| + |v|?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
a Representing the complex number z x jy ze j then x z cos a...View the full answer
Answered By
Nimlord Kingori
2023 is my 7th year in academic writing, I have grown to be that tutor who will help raise your grade and better your GPA. At a fraction of the cost on other sites, I will work on your assignment by taking it as mine. I give it all the attention it deserves and ensures you get the grade that I promise. I am well versed in business-related subjects, information technology, Nursing, history, poetry, and statistics. Some software's that I have access to are SPSS and NVIVO. I kindly encourage you to try me; I may be all that you have been seeking, thank you.
360+ Reviews
1070+ Question Solved
Related Book For 
Question Posted:
