Help me solveQuestion $1$a

The base frame of a robotic system is denoted as Frame $\{A\}$; Frame $\{B\}$ is attached to the end$-$effector in the system. The coordinates of the origin of Frame $\{B\}$ with respect to Frame $\{A\}$ are $x=2,y=10,z=5,$ in which the system setting is adopted for the dimension unit. Frame $\{B\}$ is rotated with respect to hat$(x{)}_A$ by an angle $=45.$

Question $1$a$($i$)$

Formulate homogeneous transformation matrix ${?}_B^{A}T$ for this kinematic analysis.

Question $1$a$($ii$)$

A position vector of Point $P$ in Frame $\{B\}$ is given by ${?}^{B}P={\left[\begin{array}{ccc}1& 1& 1\end{array}\right]}^T,$ calculate the point position in Frame $\{A\}$ based on the formulation of ${?}_B^{A}T.$