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# Vectors & Scalars 3

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### Transcript

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