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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. ⃑ = 12 Newtons of force at
40° to the horizontal
Copy the vectors to find each sum or difference.
3. ⃑ – ⃑⃑
2. ⃑ + ⃑
⃑⃑⃑⃑⃑⃑ .
4. Write the component form of 
Chapter 8
46
Glencoe Geometry
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Find the magnitude and direction of each vector.
5. ⃑ = 〈9, –7〉
Find each of the following for ⃑ = 〈–1.5, 4〉, ⃑⃑ = 〈7, 3〉, and ⃑ = 〈1, –2〉. Check your answers graphically.
6. 2⃑ + ⃑⃑
7. 2⃑ – ⃑⃑
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: ⃑ = 〈−4, −2〉, ⃑ = 〈6, 1〉, ℎ
⃑⃑⃑⃑
ℎ − ⃑⃑⃑⃑⃑⃑⃑
2 + ⃑⃑⃑⃑⃑

Chapter 8
46
Glencoe Geometry