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Yep, teridax is right. Using the word 'discovery' in your creative is a big NO NO!

I get it guys. Thank you so much!!!

How can we just make that assumption? What if there is another complex number multiplied by w which gives a (different) real number?

Omg I feel so stupid - I still don't get it.

I assume so

Noob Q here (because I've forgotten my shit) - how is conjugate of w equal to w^4 ?

Let me rephrase my original Q - I am stuck on part ii)

if I have w as a complex root of z^5 = 1, then how would you express the conjugate of (w + w^4) in terms of positive powers of w (Asking on behalf of a friend)

Anyone have a 'nicer' solution? Also, keep in mind guys that this is a first year, first semester question. I don't believe I am familiar with "ansatz" for example.

Tbh not much, because I think we only had a few minutes left and they miraculously seemed to pluck the quadratic out of nowhere, and how they got said quadratic was really confusing.

but thanks VBN :)

My tutor's 1 minute explanation didn't make sense at all. Hence, me asking it on BOS.

Sorry I should have clarified. I got the first part out, and I am stuck on the 11th vector part. According to the answers, there is a 11th vector :/

LOL please help. Don't where to start tbh.

It depends on which subjects you are studying for....

That was a fantastic spell from Wahab Riaz - I was thoroughly impressed!

bump

90 degrees - tan inverse of yAF / xAF

oh oops figured it out. thanks so so so much for your help, Photastic and Integrand :) :) :)

Can anyone identify the flaw in my vectors? AB = (-18 sin (18 degrees), + 18 cos (18 degrees)) BC = (25 sin (36 degrees), + 25 cos (36 degrees)) CD = (+20 cos (18 degrees), - 20 sin (18 degrees)) DF = (-15 sin (25 degrees), - 15 cos (25 degrees))