Consider the line which passes through the point P = (1, 1, 1) in the direction v = h2, 0, 3i. Let A = (0, 1, 4). (a) Give a parametric description...

1. Consider the line which passes through the point P = (1, 1, 1) in the direction v = h−2, 0, 3i. Let A = (0, −1, −4).

(a) Give a parametric description of the line as a vector-valued function r(t).

(b) Using single variable calculus, minimize this function to find the closest point of the line to the point A.