Help with finding distance from point to line

**multivariablecalc** · September 24th 2009, 09:32 AM

I am having trouble here using the this A x B (cross product)/A to derive the distance from this point (4, 1, -2) to x= 1 +t, y = 3-2t, z = 4-3t.

any help would be much appreciated.

**multivariablecalc** · September 24th 2009, 10:14 AM

anyone? please?

**Plato** · September 24th 2009, 10:41 AM

Originally Posted by multivariablecalc

I am having trouble here using the this A x B (cross product)/A to derive the distance from this point (4, 1, -2) to x= 1 +t, y = 3-2t, z = 4-3t.

The correct formula is $\ell :P + tD\;\& \,d(\ell ,Q) = \frac{{\left\| {\overrightarrow {PQ} \times D} \right\|}}{{\left\| D \right\|}}$ .

In this problem $Q(4,1,-2),~P(1,3,4)~\&~D=<1,-2,-3>$

**multivariablecalc** · September 24th 2009, 11:28 AM

Plato thank you so much for taking the time!

Math Help - Help with finding distance from point to line

LinkBack

Thread Tools

Display

Help with finding distance from point to line

Similar Math Help Forum Discussions

Finding the shortest distance from a point to a line with parametric vector equation?

Curve's point A tangent line passes through a point P. What is the distance of AP

Finding the minimum distance from a point to a line-Having trouble

Finding a point a certain distance from a line.

Calculating coords of a point on a straight line at a distance from start point...

Search Tags