Win SBD in this Math Contest #1 - Simplify:

Welcome to my first little math contest to simplify something simple.

On the (x,y) plane, simplify:        u_x i  =  ?

Very simply problem.

This little problem is very important to understanding imaginary and complex numbers that is not usually taught to students (as far as I am aware). This will be explained more when I announce the winners.

One of the hardest things in math equations is knowing what all the symbols represent. Sometimes authors use symbols in different ways. This is necessary because of the limited number of symbols available. A symbol can have different meanings to different authors.

u_x represents a unit vector, that is a vector with length (or magnitude) of 1, and the subscript x represents that the vector has a direction that is the same as the x axis. It can be on the x axis or anywhere on the (x,y) plane as long as it is parallel to the x axis. Vectors are very handy that way, they can easily represent forces at many points in space and time, i.e. a vector field.

(Unfortunately my MarkDown Computer Language skills are at a beginner level so I made the next 3 lines as a jpg.)

i²  =  -1
(u_x)²  =  1  =  i⁴

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    RULES

Have fun with this little puzzle and even receive a little cryptocurrency.
The first to post the right answer in the comments will win at least 2 SBD.
It's ok to guess, you might get lucky.
The first to post the correct algebra of how they got the right answer will win at least 3 SBD.
This part is a bit harder to guess at, but try if you like.

All attempts to answer that are posted in the comments will win at least a part of an SBD.
The prizes can increase if the author rewards are generous.
To receive a prize, your upvote is needed & required.
Resteem is recommended, but not required.

I may or may not provide a hint or two as the days go by.
If someone posts the winning answer, I will announce that after the 7 days.
Professors and Scientists are welcome and encouraged to solve this little puzzle.
Constructive criticisms and suggestions are appreciated.
All prizes will be rewarded after the 7 days of upvoting.

I may even post this as a youtube video in 2 or 3 days to encourage youtubers to join steemit.com

Have fun with this. It is about a major breakthrough in mathematics from many years ago that is important but not widely known. Some of you might find this too easy. I hope so. Post your answer and win a few SBD.

Special thanks to @lemouth, @papapepper, @math-trail, @steemstem, and many others for encouraging science and/or contests on steemit.com