Vectors. He takes off from Philadelphia International Airport He flies 20 miles North He then flies 10 miles at a heading 80° East of North Distance =

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Presentation transcript:

Vectors

He takes off from Philadelphia International Airport He flies 20 miles North He then flies 10 miles at a heading 80° East of North Distance = 30 miles Result = Resultant = 23.9 miles 24° East of North Displacement = 23.9 miles 24° East of North My Brother is a Pilot

Magnitude miles Direction - 24° East of North Displacement Vector Vector A equals Vector A´ (A prime) Vector B equals the negative of Vector A A Vector  Magnitude and Direction

A+B=B+A Vector Addition Commutes Adding Vectors Head to Tail Parallelogram Method

Adding Vectors The Sum of Two Parallel Vectors The Sum of Two Antiparallel Vectors Two Add Three Vectors

͢ Subtracting Vectors A − B = A + −B 2 ∙ A ͢ ͢ Multiplying by a Scalar Same Direction Twice as Long

Pilots Measure from North Clockwise from North Heading 20° (20° East of North) Heading 160° Heading 280 °

Mathematicians and Physicists Measure counterclockwise from the positive X-axis θ = 144°θ = 264° 54° West of North Equals 36° North of West