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Vectors
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Any quantity that requires both magnitude and direction
Vector Quantity Any quantity that requires both magnitude and direction Examples: Force Velocity Acceleration
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Scalar Quantity A quantity that can be described by magnitude only (not involving direction) Examples: Mass Volume Speed
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Vector or Scalar? You just picked up some fellow classmates at chic-fil-a in your new rockin’ sharkmobile. You make the 1 mile drive to CTA for some fun after school learning with Ms. Meyer.
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Vector or Scalar? You are headed to an Ohio State football game. You bike all 13.8 miles North East to campus.
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Vector or Scalar? You are standing at the CTA girl’s basketball game. You go nowhere. You want to cheer for your team!
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Arrows Show Vector Quantities
represented by an arrow length of arrow is longer or shorter depending on the magnitude of the quantity Shorter = smaller magnitude Longer = larger magnitude direction of arrow gives direction… duh The arrow is the vector!
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Vectors of the Same Direction
Just add them together!
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Vectors of the Opposite Directions
Find the difference between them (subtract)
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The sum of 2 or more vectors
Resultant The sum of 2 or more vectors This includes vectors of the opposite direction – they are still summed, just one is negative!
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Parallelogram rule To find the direction of 2 vectors that aren’t in the same of opposite direction
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Force Vectors Parallelogram: R=sqrt(x2 + y2) ?? N 30 N 40 N
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