- #1

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**Finding Two Vectors from Given Linear Combination**

## Homework Statement

If v + w = (5,1) and v - w = (1,5), compute and draw v and w.

## Homework Equations

v + w = (5,1)

v - w = (1,5)

## The Attempt at a Solution

I understand how to find the sum of two vectors, but I'm confused on how to find the vectors from a sum / difference. My first attempt was to draw the v + w vector and v - w vector and try to visualize the original two vectors, v and w. However, I couldn't come up with anything productive.

If it matters, I'm going through MIT OCW 18.06 w/ Introduction to Linear Algebra (Strang) and this is question 3 from problem set 1.1. Its been a few years since I took LA or any vector math and I'm trying to regain lost knowledge.

Any guidance would be greatly appreciated.

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