Space problem Mathcad

[ptc-4805829]

I am dealing with matrixes and vectors and have an example problem I dont quite understand.

The position of a satellite is P=(2,5,4). A warning signal is activated if an object comes within 3 units of the satellite.

Decide if a meteor which travels along a line that goes through A=(1,5,2) and B=(3,-1,5) is going to activate the signal.

Show calculations and explain reasoning with 2-3 sentences.

-Mikko

[RichardJ]

It would be better (i.e. for you) if instead of just posting your homework questions you posted a worksheet showing that you have at least attempted an answer.

First find the equation of the line from A and B. The distance between two points is sqrt((x2-x1)^2+(y2-y1)^2+(z2-z1)^2). So next find the minimum distance from the line to the point P using this expression.