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# Vectors Scalars 1

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### Vectors Scalars 1

1. 1. Scalar Quantities <ul><li>Describes magnitude </li></ul><ul><li>Does not depend on direction </li></ul><ul><li>Is not changed by the coordinate system </li></ul>
2. 2. Scalars <ul><li>All of these examples have one unit and do not have a direction </li></ul><ul><li>Mass (78 g) </li></ul><ul><li>Area/Volume (68m^2) </li></ul><ul><li>Temperature (12°C) </li></ul><ul><li>Energy (100.3 J) </li></ul><ul><li>Time (30 minutes) </li></ul><ul><li>Money (\$56) </li></ul>
3. 3. Vectors <ul><li>A quantity that describes both magnitude and direction </li></ul><ul><li>Can be drawn as an arrow where the length represents the magnitude and the direction of the arrow represents the direction of the vector </li></ul>Velocity and distance are examples of vectors
4. 4. Triangle Method <ul><li>Move the 2 nd vector so it starts at the end of the first vector </li></ul><ul><li>The resultant vector will start at the beginning of the 1 st vector and stop at the end of the 2 nd vector </li></ul>
5. 5. Adding Parallel Vectors <ul><li>With Vectors pointing in same direction just simply add the numbers and use the same direction. </li></ul><ul><li>With vectors pointing in opposite directions add the numbers then take the direction of the vector with the largest absolute value. </li></ul>
6. 6. Parallelogram <ul><li>Move the vectors so that they start at the same point </li></ul><ul><li>The resultant vector will be the diagonal of the parallelogram formed by the two vectors. It will start at the same vertex as the two vectors. </li></ul>
7. 7. Speed vs. Velocity <ul><li>Speed describes the rate of change in distance </li></ul><ul><li>Velocity describes a rate of change in displacement </li></ul>
8. 8. Displacement vs. Distance <ul><li>Displacement is a vector that describes the change in position if the object from starting to ending point. </li></ul><ul><li>Distance is a scalar which describes “how much ground” the object has covered during motion. </li></ul>