# Distance between point and parametric equation

I've just had a brain block... how do I work out the distance between a point (-5,10,13) and a parametric equation:

x(t) = 57- 4t
y(t) = 75 + 5t
z(t) = -t

## Answers and Replies

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Dick
Homework Helper
You write out an expression for the distance between (-5,10,13) and (x(t),y(t),z(t)) and minimize with respect to t.

he didn't ask for the minimum distance, he asked for the distance. hence the distance will be a function of t

Dick
Homework Helper
he didn't ask for the minimum distance, he asked for the distance. hence the distance will be a function of t
Good point. Don't minimize.

HallsofIvy