Two particles are moving in the xy-plane. They move along straight lines at constant speed. At time t, particle A's position is given by

x = t + 2, y = 1/2t − 3 and particle B's position is given by x = 24 − 2t, y = 7 −1/3t.
a) Find the equation of the line along which particle A moves
(b) Find the equation of the line along which particle B moves.
Find the time (i.e., the value of t) at which the distance between A and B is minimal. (Round your answer to two decimal places.)
I already found A and B don't know how to do part C

Question

Two particles are moving in the xy-plane. They move along straight lines at constant speed. At time t, particle A's position is given by
 
x = t + 2, y = 1/2t − 3 and particle B's position is given by x = 24 − 2t, y = 7 −1/3t. 
a) Find the equation of the line along which particle A moves
(b) Find the equation of the line along which particle B moves.
Find the time (i.e., the value of t) at which the distance between A and B is minimal. (Round your answer to two decimal places.)
I already found A and B don't know how to do part C

primeralph · Answer

|dw:1382592927393:dw|