Problem $2$: Vector calculation in practice $(50\%)$

Measure the location of a point in space: the locations of two

reflective markers, A and $B$ are provided

$\{$:$B_y,B_z)mm$; the distance between $B$ and $T$ is termed as $D_{BT}.$

Q$1$: what is the location of $T($using all the known information to

express the coordinates of T $?(30\%)$

Q$2$: if a measurement error is associated with the pointer marker

data, e$.$g$.(A_x+-d,A_y+-d,A_z+-d),$ how would you design the pointer

with the distances between A and $B(D_{AB})$ and $D_{BT}^2(20\%)$