231.12.3.63 Determine the smallest distance between point and line

  • Context: MHB 
  • Thread starter Thread starter karush
  • Start date Start date
  • Tags Tags
    Line Point
karush
Gold Member
MHB
Messages
3,240
Reaction score
5
$\tiny{231.12.3.63}$
$\textsf{Determine the smallest distance between point $P(1,1,1)$}$
$\textsf{ and the line $L$ through the origin}$
$\textsf{ $L$ has the direction $\langle -4,-5,8 \rangle$}$

$\textit{ok I know the formula to use basically is}$

\begin{align*}\displaystyle
d&=\frac{|Am+Bn+C|}{\sqrt{A^2+B^2}}
\end{align*}

$\textit{But did not know how to get the equation for L}$
 
on Phys.org
Isn't this question a duplicate of the following?

http://mathhelpboards.com/calculus-10/231-12-3-65-determine-smallest-distance-between-point-line-22060.html
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
8
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 5 ·
Replies
5
Views
4K
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K