Vector Addition and Subtraction Answers

Which graph shows u + v for the given vectors u and v?

Let r = ⟨7, 1⟩, s = ⟨–6, 2⟩, and t = ⟨–9, –3⟩. What is 10r + s – t?

Let |r| = 17 at an angle of 40° and |s| = 14 at an angle of 160°. Which expression represents |r + s|?

Let u = ⟨–2, 6⟩, v = ⟨3, 2⟩, and w = ⟨–1, 4⟩. What is the magnitude and direction angle of 2(u + v) – 3w?

Let a = 8i + 2j, b = –3i + j, and c = 2i – 5j, where i and j are unit vectors.What is 4a + 2b – 9c in terms of i and j?

Let |q| = 5 at an angle of 45° and |r| = 16 at an angle of 300°. What is |q – r|?

Let u = 2i + 3j, v = –i, and w = 5i – 6j. What is the magnitude of 2(u – v + w)?

Let r = ⟨7, 1⟩ and s = ⟨–12, –3⟩. What is r – s?

Review the following information about vectors q and r.q = ⟨–4, 1⟩r = ⟨a, 3⟩7(q + r) = ⟨–35, 28⟩

Let |u| = 10 at an angle of 45° and |v| = 13 at an angle of 150°, and w = u + v. What is the magnitude and direction angle of w?