Boat A is initially at position (1, 4) and moves at a constant velocity of <3, 5> . Boat

B is at position (7, 2) and moves at a constant velocity of <1, 10> . Units of distance are in miles and units

of time are in hours.

(a) Determine whether or not the paths of motion of the boats cross. If they do cross, determine

where they intersect.

(b) Do the boats collide?