3. Vectors

Vector F is 65 m long, directed 30.5° below the positive x-axis. (a) Find the x-component, F_x. (b) Find the y-component, F_y.

The vector A represented is by the pair of components A_x = -77 cm, A_y = 36 cm. (a) Find the magnitude of vector A. (b) Find the absolute angle of this vector.

A small helicopter travels 225 m across a city in a direction 53.1° south of east. What are the components of the helicopter's trip?

A disoriented physics professor drives 3.25 km north, then 2.20 km west, and then 1.50 km south. Find the magnitude and direction of the resultant displacement, using the method of components. In a vector-addition diagram (roughly to scale), show that the resultant displacement found from your diagram is in qualitative agreement with the result you obtained by using the method of components.