Hello, shiiganB!

Astronomically, the problem makes no sense,

. . but I'll solve it anyway.

Earth and Mars intersect each other.

(a) Find a parametric equation of the line in which Earth intersect Mars.

Add [1] and [2]: .

Substitute into [1]: .

. . We have: .

On the right, replace with the parameter

. . Therefore: .

A strange (silly!) question . . .(b) The coordinates of Spring Lake is given by the point (-5, 10, 13).

How far away from Spring Lake is the line mentioned in (a)?

Spring Lake could be a ski resort located on Mars or Jupiter or . . .

Ignoring that possibility, Spring Lake is probably located on Earth,

. . in which case, it isthe line mentioned in (a).on

. . The distance is.zero

To check, try