The displacement vector on a deforming body is given as:

vec$(r)=(0\mathrm{.}01z)vec()+(0\mathrm{.}02x)vec()+(xyz)vec(k)$

At a point initially located at $(0\mathrm{.}1,-0\mathrm{.}1,0),$ Calculate

i$.$ The coordinates of the new location of the point.

ii$.$ The elongational strain along the x axis.

iii. The shear strain in the xz plane.