Dot Product and Work — Unit test Answers

Which pair of equations below is a result of constructing the altitude, h, in ?

Solve the Law of Cosine: for cos C.

Let w = where O(–5, 6) and R(4, –2). What is the component form of w?

Review the graph.

Let a =⟨–7, 3⟩ and b =⟨–2, –12⟩, and c = a + b. What is the magnitude and direction angle of c?

When deriving the Law of Cosines, the equation is created using the Pythagorean theorem. Use substitution to replace in the equation below and then simplify.

A vector in standard position has its terminal point at (7, –4). What is the magnitude of the vector?

Which equation could be used to solve for the measure of side q in shown below, given s = 15, S = 45°, and Q = 105°? [Not drawn to scale]

A plane flies 35 km in the direction N 30° W, then flies 60 km in the direction N 60° E. How far is the plane from its original location?

Let u = ⟨1, 5⟩, v = ⟨–3, 3⟩, and w = ⟨2, 3⟩. What is the direction angle of 4w – (2u + v)?

Given vectors u = ⟨–2, 1⟩ and v = ⟨4, –2⟩, which statement is true concerning u and v?

Two planes take off from the same airport at approximately the same time. Plane A has an airspeed of 600 mph and travels in the direction S 20° W. Plane B has an airspeed of 450 mph and travels in the direction N 35° E.Which diagram represents the distance, x, between the planes?

Given vectors u = ⟨3, 4⟩ and v = ⟨4, 3⟩, what is the measure of the angle between the vectors?

Let v = ⟨–13, 2⟩ and w = ⟨–9, –5⟩. What is w – v?

Let q = ⟨15, –3⟩, r = ⟨–5, 8⟩, and s = ⟨10, –1⟩. What is r – q + 2s?