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NAME _____________________________________________ DATE ____________________________ PERIOD _____________ 8-7 Practice: Vectors Use a ruler and a protractor to draw each vector. Include a scale on each diagram. 1. 𝑣⃑ = 12 Newtons of force at 40° to the horizontal Copy the vectors to find each sum or difference. 3. 𝑎⃑ – 𝑏⃑⃑ 2. 𝑝⃑ + 𝑟⃑ ⃑⃑⃑⃑⃑⃑ . 4. Write the component form of 𝐴𝐵 Chapter 8 46 Glencoe Geometry NAME _____________________________________________ DATE ____________________________ PERIOD _____________ Find the magnitude and direction of each vector. 5. 𝑔⃑ = 〈9, –7〉 Find each of the following for 𝑣⃑ = 〈–1.5, 4〉, 𝑏⃑⃑ = 〈7, 3〉, and 𝑐⃑ = 〈1, –2〉. Check your answers graphically. 6. 2𝑎⃑ + 𝑏⃑⃑ 7. 2𝑐⃑ – 𝑏⃑⃑ 8. AVIATION A jet begins a flight along a path due north at 300 miles per hour. A wind is blowing due west at 30 miles per hour. a. Find the resultant velocity of the plane. b. Find the resultant direction of the plane. ⃑⃑ = 〈2, −3〉 9. Find the following for the following: 𝑓⃑ = 〈−4, −2〉, 𝑔⃑ = 〈6, 1〉, ℎ ⃑⃑⃑⃑ ℎ − ⃑⃑⃑⃑⃑⃑⃑ 2𝑓 + ⃑⃑⃑⃑⃑ 𝑔 Chapter 8 46 Glencoe Geometry
