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How do you sketch this? watch

1. Lol

If someone can do this I will give you rep.

[2-i,1+i]

So sketch the vector.
2. Just say something like "associate a plane to each point in a plane". Then just sketch 2-i in one plane, and sketch 1+i in the corresponding "2-i plane".
3. simples.
4. (2,-1) and (1,1) IIRC
5. Match the coordinates show above and draw the straight line.

The plane this is drawn is called an Argand Plane.

http://en.wikipedia.org/wiki/Complex_plane
6. Matching co-ordinates that way would be wrong,

as you would, have four dimensions I think.

I.e. you would have i and j. Also, and the complex plane is R^2.

So drawing a argand diagram and then drawing a straight line would be wrong, as in a sense there one coordinate is on the i bit and the other is on the j bit.

Just say something like "associate a plane to each point in a plane". Then just sketch 2-i in one plane, and sketch 1+i in the corresponding "2-i plane".
Hmm, what the hell? hmm, a plane to a point in a plane. Hmm, there must be a similar way to draw it. Hmm, like how you can draw a hypercube http://www4.ncsu.edu/unity/lockers/u...s/4dplots.html
7. [2-i,1+i] represents two points in the complex plane.

It asks to draw the vector so I assume it would be the vector that contains these two points?

I am a 4th year undergraduate Maths and Economics student so I have done this stuff before, but not for about 3 years so since you've been taught it recently I would imagine you have a better idea. I merely provide a suggestion use it or ignore it at your own will.

Good Luck.

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