# Math Help - Distance from a point to the line

1. ## Distance from a point to the line

Find the distance form the point P= (1,1,6) to the line
x= 1+t
y=3-t
z=2t

This isn't a question about circles or using a circle to get to the answer, so please only using linear algebra rules and formulas. Thanks

2. $\displaystyle <1,1,6> \ u=<1,-1,2> \ PQ<0,2,6>$

$\displaystyle \frac{\begin{bmatrix}
i & j & k\\
0 & 2 & 6\\
1 & -1 & 2
\end{bmatrix}}{||u||}$