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Published byTrent Scotten Modified over 3 years ago

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What do you think?

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Introduction to Adding Vectors

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Objectives Name the parts of a vector arrow. Correctly represent vectors using vector arrows. Add vectors graphically.

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Representing Vectors using Vector Arrows And also naming the parts of a vector arrow

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How do we represent a vector? We represent a vector using a VECTOR ARROW.

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Why do you think we use an arrow rather than something else?

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What is VECTOR QUANTITY? It a quantity that is completely described by a magnitude and direction.

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The Vector Arrow Length represents the magnitude of the quantity. Direction of the arrow represents the direction of the vector.

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Adding Vectors …with vectors which run along the same axes…

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Let us try this. 5 km East + 4 km East

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But the 5 km would not fit in the boundary of the paper. Use a SCALE.

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Tail to Tip Method 5 km East + 4 km East

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5 km East + 4 km East 5 km East 4 km East R = 9 km East

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5 km East + 4 km West 5 km East 4 km West R = 1 km East

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4 km East + 5 km West 4 km East 5 km West R = 1 km West

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You try this. 90.0 km, North + 72.0 km, South

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Adding Vectors …with vectors that are along different axes…

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How about… 4 m/s, North + 3 m/s, East

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4 m/s, North + 3 m/s, East 4 m/s, North 3 m/s, East 5 m/s, ?

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4 m/s, North + 3 m/s, East

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4 m/s, North 3 m/s, East 5 m/s, 36.9 o

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Construct this Vector. 5 m/s, 36.9 o

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Construct this Vector. 7.00 m/s, 15.0 o

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Naming Vectors Naming them in Three Ways

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4 m/s, North + 3 m/s, East

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4 m/s, North 3 m/s, East 5 m/s, 36.9 o 36.9 o

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The magnitude of this vector is 55 Newtons. Name this vector.

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Determine the measures of angles.

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Example θ1θ1 θ2θ2 55.0 m, 35.0 o east of north

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Exercise Number 1 θ1θ1 θ2θ2 θ3θ3 55.0 m, 35.0 o West of North

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Exercise Number 2 θ1θ1 θ2θ2 θ3θ3 10.0 N, South 65.0 o West

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Exercise Number 3 θ1θ1 θ2θ2 θ3θ3 50.0 m/s 300.0 o

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Name that Vector.

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Example θ1θ1 θ2θ2 55.0 m, 35.0 o east of north Use methods 2 and 3.

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Exercise Number 4 θ1θ1 θ2θ2 θ3θ3 55.0 m, 35.0 o West of North Use methods 2 and 3.

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Exercise Number 5 θ1θ1 θ2θ2 θ3θ3 10.0 N, South 65.0 o West Use methods 1 and 3.

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Exercise Number 6 θ1θ1 θ2θ2 θ3θ3 50.0 m/s 300.0 o Use methods 1 and 2.

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End of Part

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Vectors You will be tested on your ability to: 1.correctly express a vector as a magnitude and a direction 2. break vectors into their components 3.add.

Vectors You will be tested on your ability to: 1.correctly express a vector as a magnitude and a direction 2. break vectors into their components 3.add.

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