Help with finding distance from point to line

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

anyone? please?

**Plato** · Sep 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** · Sep 24th 2009, 11:28 AM

Plato thank you so much for taking the time!

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