(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

(In textbook, given a figure, I cannot redraw that figure in this applet, so I shall describe the question in words)

I am given a rectangular xy coordinate system determined by the unit basis vectorsiandjand an x'y'-coordinate system determined by unit basis vectorsu_{1}andu_{2}. Find the x'y-coordinates of the points whose xy-coordinates are given.

(a) (sqrt3, 1) .. (b) (1, 0) .. (c) (0, 1) .. (d) (a, b)

Okay.u_{1}is 30 degrees anticlockwise fromi, andu_{2}is directly alongj.

2. Relevant equations

(v)_{S}= (c_{1}, c_{2}), where c_{1}and c_{2}denote the solutions to c_{1}u_{1}+ c_{2}u_{2}=i+j.

3. The attempt at a solution

I don't know. I think I'm going to just jump right in and do this (for a):

c1/cos30 = sqrt3

c2 = 1

But this is incorrect?

I don't know what to do? The textbook had no examples like this?

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# Coordinates relative to a basis

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