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Introduction to Adding Vectors
Objectives Name the parts of a vector arrow. Correctly represent vectors using vector arrows. Add vectors graphically.
Representing Vectors using Vector Arrows And also naming the parts of a vector arrow
How do we represent a vector? We represent a vector using a VECTOR ARROW.
Why do you think we use an arrow rather than something else?
What is VECTOR QUANTITY? It a quantity that is completely described by a magnitude and direction.
The Vector Arrow Length represents the magnitude of the quantity. Direction of the arrow represents the direction of the vector.
Adding Vectors …with vectors which run along the same axes…
Let us try this. 5 km East + 4 km East
But the 5 km would not fit in the boundary of the paper. Use a SCALE.
Tail to Tip Method 5 km East + 4 km East
5 km East + 4 km East 5 km East 4 km East R = 9 km East
5 km East + 4 km West 5 km East 4 km West R = 1 km East
4 km East + 5 km West 4 km East 5 km West R = 1 km West
You try this km, North km, South
Adding Vectors …with vectors that are along different axes…
How about… 4 m/s, North + 3 m/s, East
4 m/s, North + 3 m/s, East 4 m/s, North 3 m/s, East 5 m/s, ?
4 m/s, North + 3 m/s, East
4 m/s, North 3 m/s, East 5 m/s, 36.9 o
Construct this Vector. 5 m/s, 36.9 o
Construct this Vector m/s, 15.0 o
Naming Vectors Naming them in Three Ways
4 m/s, North + 3 m/s, East
4 m/s, North 3 m/s, East 5 m/s, 36.9 o 36.9 o
The magnitude of this vector is 55 Newtons. Name this vector.
Determine the measures of angles.
Example θ1θ1 θ2θ m, 35.0 o east of north
Exercise Number 1 θ1θ1 θ2θ2 θ3θ m, 35.0 o West of North
Exercise Number 2 θ1θ1 θ2θ2 θ3θ N, South 65.0 o West
Exercise Number 3 θ1θ1 θ2θ2 θ3θ m/s o
Name that Vector.
Example θ1θ1 θ2θ m, 35.0 o east of north Use methods 2 and 3.
Exercise Number 4 θ1θ1 θ2θ2 θ3θ m, 35.0 o West of North Use methods 2 and 3.
Exercise Number 5 θ1θ1 θ2θ2 θ3θ N, South 65.0 o West Use methods 1 and 3.
Exercise Number 6 θ1θ1 θ2θ2 θ3θ m/s o Use methods 1 and 2.
End of Part
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