Least Squares solution for a matrix and orthogonal matrix

Question

Let matrix $A$ be a real $n \times n$ matrix, $Q$ be an orthogonal real $n \times n$ matrix.

Let $V\in \mathbb{R}^n$ and $V\neq 0$

I am trying to find the following two least squares solutions to:

1. $\min_{\mu\in \mathbb{R}} \| AV - \mu V \|_2^2$

2. $\min_{\mu\in \mathbb{R}} \| \mu QV - V \|_2^2$