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Scalars vs. Vectors

Scalars vs. Vectors. Scalar quantities have only a magnitude (amount). Vector quantities have a magnitude and a direction. We represent them as arrows . Distance (d): the separation between two points. Is distance a scalar or a vector? _____________

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Scalars vs. Vectors

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  1. Scalars vs. Vectors

  2. Scalar quantities have only a magnitude (amount). Vector quantities have a magnitude and a direction. We represent them as arrows. Distance (d): the separation between two points. Is distance a scalar or a vector? _____________ Displacement(Δd): A measure of the change in position. Δd = final position – initial position.The sign of the value for indicates the direction. Is displacement a scalar or a vector? ______________

  3. a) what is the distance of Car A from Car B? ___________ b) what is the distance of Car B from Car A? ___________ c) what is the position of Car A? ____________ of Car B? ____________ d) what is the displacement of Car A measured from Car B? ____________ e) what is the displacement of Car B measured from Car A? ____________

  4. Ex: A student walks 5 m east and then 3 m west. • What is the distance (scalar) travelled? • What is the student’s displacement (vector)? • d = 5 m + 3 m = 8 m • Draw the vector arrows: 5 m east 2 m east 3 m west Resultant or “net” vector When adding vectors we use vector addition or the tip-to-tail method.

  5. Ex: A polar bear meanders 275 m east and then turns around and ambles 425 m west. • What was the distance travelled by the bear? b) What was the bear’s displacement?

  6. Start/ Finish 115 m A Ex: A little girl takes her dog for a walk around a city block as shown. • What is the distance travelled? • What is her final displacement? • What was her displacement at B? • What was her displacement at C? N 125 m 125 m C 115 m B

  7. Ok this can get a little confusing… Describe the following angles… 1 2 3 θ θ θ 4 5 6 θ θ θ

  8. Add the following vectors and find their resultant magnitudes and directions. • 15 m East and 25 m North • 220 m North and 80 m West • 2.2 m South and 1.8 m North • 150 m East and 180 m South • 45 m South and 30 m East and 15 m North Remember to add tip-to-tail! When adding vectors does it matter which one you add first?

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