Answer
$$
\begin{aligned}
& y=1 \mathrm{~m} \\
& z=3 \mathrm{~m} \\
& d=1.15 \mathrm{~m}
\end{aligned}
$$
Work Step by Step
$$
\begin{aligned}
-14 \mathbf{i}+8 \mathbf{j}+2 \mathbf{k} & =\left|\begin{array}{llc}
\mathbf{i} & \mathbf{j} & \mathbf{k} \\
1 & y & z \\
6 & 8 & 10
\end{array}\right| \\
-14 & =10 y-8 z \\
8 & =-10+6 z \\
2 & =8-6 y \\
y & =1 \mathrm{~m} \\
z & =3 \mathrm{~m} \\
M_O & =\sqrt{(-14)^2+(8)^2+(2)^2}=16.25 \mathrm{~N} \cdot \mathrm{m} \\
F & =\sqrt{(6)^2+(8)^2+(10)^2}=14.14 \mathrm{~N} \\
d & =\frac{16.25}{14.14}=1.15 \mathrm{~m}
\end{aligned}
$$
