Vectors

Any quantity that requires both magnitude and direction Vector Quantity Any quantity that requires both magnitude and direction Examples: Force Velocity Acceleration

Scalar Quantity A quantity that can be described by magnitude only (not involving direction) Examples: Mass Volume Speed

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.

Vector or Scalar? You are headed to an Ohio State football game. You bike all 13.8 miles North East to campus.

Vector or Scalar? You are standing at the CTA girl’s basketball game. You go nowhere. You want to cheer for your team!

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!

Vectors of the Same Direction Just add them together!

Vectors of the Opposite Directions Find the difference between them (subtract)

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!

Parallelogram rule To find the direction of 2 vectors that aren’t in the same of opposite direction

Force Vectors Parallelogram: R=sqrt(x2 + y2) ?? N 30 N 40 N