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Notes 1: Basic Terminology
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Worksheet 1: Basic Terminology
Answers:
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Notes 2: Magnitude and Direction
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Worksheet 2: Magnitude and Direction
Answers:
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Notes 3: Horizontal and Vertical Components
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Worksheet 3: Horizontal and Vertical Components
Answers:
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Notes 4: Vector Operations
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Worksheet 4: Vector Operations
Space for work:
Answers:
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Notes 5: Dot Product
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Worksheet 5: Dot Product
Space for work:
Answers:
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Unit 3: Vector Basics- Review Sheet Name: ___________________________ Hour: ______
#1-4: Given u=⟨−8 , −3 ⟩1) Sketch the vector in the coordinate plane.
2) Name the quadrant.
3) Find the magnitude for u .
4) Find the direction for u .
#5-7: Given: θ=143° ,|v|=215) Sketch the vector in the coordinate plane and name the quadrant. 6) Write the vector in the form⟨ a , b ⟩ .
7) Find the magnitudes of the horizontal and vertical components.
#8-9: Two forces of 32 and 55 Newtons act at a point in the plane. The angle between the two forces is130 ° .8) Sketch the resultant 9) Find the magnitude of the resultant force.
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#10-14: Given u=⟨2 ,−3 ⟩and v=⟨ 4 , 6 ⟩10) −3u 11) 2v
12) u+v−3u 13) u⋅2 v
#14-19: Given u=2i− j and v=3 i+4 j
14) Write u in the from ⟨ a , b ⟩ 15) Write v in the form ⟨ a , b ⟩
16) Find the magnitude of u 17) Find the magnitude of v
18) Find u⋅v 19) Find the angle between u⋅v
20) How can you use the dot product to determine if an angle is obtuse, right or acute?