Respond to the short answer questions below, showing all work.

1. A plane is traveling due west at 350 mph. A south wind is blowing at 30 mph. What is the resulting velocity of the plane?

2. Vectors u and v have an initial point of (-1,4).

a. Determine the component form of the vector v if its terminal point is (5, -9).

b. Determine the component form of the vector u if its terminal point is (7, -3).

c. Find the resultant of u and v and calculate its magnitude.

d. What is the direction angle of the resultant vector?

e. Calculate the dot product of u and v.