# A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.

1) A plane is heading due south with an airspeed of 288 mph. A wind from a direction of 58° is blowing at 20 mph. Find the bearing of the plane.
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2) An observer at Airport A sees a plane 35 miles away. Airport A is 50 miles from Airport B. From Airport A, the plane is at an angle of 285° from the north and Airport B is at an angle of 65° from the north. Find the distance between the plane and Airport B to the nearest mile.

Find the magnitude of the vector.

3) =

Find the dot product for the given vectors.

4) u =, v =

Perform the indicated operation.

5)u = 8i + j, v = -2i – 6j, w = i – 3j; Find v – (w – u).

6) u = 5i + j, v = -10i – 4j; Find 3v -2u.

Find the angle between the given vectors, to the nearest tenth of a degree.

7) t =, s =

Find the amplitude, period or phase shift.

8) Find the amplitude of y = -3cos(x – π).

9) Find the period of y = 2cos(2x + π/2).

10) Find the phase shift of y = -4 + 3sin(4x – π/6)