The figure shows a basis $\mathcal{B} = \lbrace \mathbf{b_1}, \mathbf{b_2} \rbrace$ for $\mathbb{R}^2$ and a vector $\mathbf{v}$ in $\mathbb{R}^2$.

1. Write the vector $\mathbf{v}$ as a linear combination of the vectors in the basis $\mathcal{B}$. Enter a vector sum of the form 5 b1 + 6 b2.
   $\mathbf{v} =$
2. Find the $\mathcal{B}$-coordinate vector for $\mathbf{v}$. Enter your answer as a coordinate vector of the form <5,6>.
   $\lbrack \mathbf{v} \rbrack_\mathcal{B} =$