Problem $13.(4$ points$)$

a$)$ Find the transformation matrix from XYZ to the axes xyz shown.

$3\{\begin{array}{ccc}\text{:}[3,& -4,& 5]\end{array}$

b$)$ If in the original frame the stress tensor has components $-4,7,11,$ find its components in the

$511,8$

new axes. Note: you'll have to create orthonormal new frame from given information $($frame is denoted

by lower case letters x y z$)$