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Vectors & Scalars 3

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Vectors & Scalars 3

1. 1. VECTORS AND SCALARS!
2. 2. VECTORS <ul><li>A vector is an arrow that has size and direction. </li></ul><ul><li>The direction of the arrow is the direction of the vector. </li></ul><ul><li>Displacement & Velocity are both vectors. </li></ul>
3. 3. Scalar <ul><li>Scalars describe only size . </li></ul><ul><li>Speed & Distance are both scalars </li></ul>
4. 4. Vector Addition <ul><li>When adding vectors the final answer must include… </li></ul><ul><li>MAGNITUDE & DIRECTION of the final vector. </li></ul>+ = 2 2 2 4 6
5. 5. Adding Parallel Vectors <ul><li>Vectors that point in the same direction & vectors that point in the opposite direction. </li></ul><ul><li>Pointing in the same direction </li></ul><ul><li>Ex. </li></ul>Pointing in opposite direction Ex. = 3 3 6 4 6 2 = + +
6. 6. Adding Non Parallel Vectors <ul><li>Triangle Method: </li></ul><ul><li>1)Make the 1 st vector line up with the end of the 2 nd vector. </li></ul><ul><li>2) The final vector will start at the start of the 1 st vector and end at the end of the 2 nd vector. </li></ul><ul><li>Ex. </li></ul>A B A B C =
7. 7. Parallelogram Method <ul><li>1)Make sure the vectors start at the same point. </li></ul><ul><li>2) The final vector will be diagonal of the parallelogram made by the two vectors. </li></ul><ul><li>3) It will start at the same pt as the two vectors. </li></ul><ul><li>Ex. </li></ul>+ = + A B B A A B A B C
8. 8. Vector Components <ul><li>Any vector can be split into X and Y components. </li></ul><ul><li>Ex. </li></ul>Ay Y Ax X A A = Ax Ay +
9. 9. Distance VS Displacement <ul><li>Distance is a scalar quantity that describes how much was covered by the object when it was in motion. </li></ul><ul><li>Displacement is a vector quantity that describes the change in position of the object from start to end. </li></ul>
10. 10. Speed Vs Velocity <ul><li>Speed is a scalar quantity that describes the rate of change in distance. </li></ul><ul><li>Velocity is a vector quantity that describes the rate of change in displacement. </li></ul>V= d/t (velocity= distance over time)