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## Homework Statement

Let u = <3,-1>. Find v such that ||v||=4 and the angle between the vectors is ∏/3.

## Homework Equations

u.v = ||u|| ||v|| cos θ

## The Attempt at a Solution

<3,-1>.v = (√10)(4) cos ∏/3

<3,-1>.v = 2√10

v = <(2√10)/3, (2√10)/-1>

Can you please confirm that I am doing this correctly, or if not help me through where I am going awry?