Notes 1: Basic Terminology

Worksheet 1: Basic Terminology

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Notes 2: Magnitude and Direction

Worksheet 2: Magnitude and Direction

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Notes 3: Horizontal and Vertical Components

Worksheet 3: Horizontal and Vertical Components

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Notes 4: Vector Operations

Worksheet 4: Vector Operations

Space for work:

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Notes 5: Dot Product

Worksheet 5: Dot Product

Space for work:

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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.

#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?