Applying Vectors in the Plane Answers

Let u = ⟨5, –7⟩ and v = ⟨2, 1⟩. What is u · v?

x · y =

xy =

Two vectors with magnitudes of 6 and 9 have a dot product equal to –27.Find the angle between the vectors.

He is pulling 400 feet over level ground by exerting a constant 25-pound force on the bar that makes an angle of 30° with the ground. How much work is Thomas doing to pull the wagon?