# Unit vector notation

## Homework Statement

Vector a1 + vector a2 = 5*vector a3
Vector a1 - vector a2 = 3*vector a3
Vector a3 = 2i + 2j (i and j are the vector components)
Express 1) vector a1 and 2) vector a2 in unit vector notation

## Homework Equations

Vector R = Ax + Yx

## The Attempt at a Solution

I took the first equation and replaces the a3 with 2i+2j, so vector a1 + vector a2 = 5(2i + 2j)
a1 + a2 = 10i + 10j
I solved for R and found direction, but I do'nt believe that helps at all. (R = sqr root of 200 and direction was 45 degrees).
From the first equation with addition, I could conclude that vector a1 could equal = 10i +0j and vector a2 could equal 0i + 10j. However, these values don't work for the second equation with the subtraction. Is there some sort of secret to this problem?

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