Vectors have both magnitude and direction, while scalars only have magnitude. Displacement and velocity are vectors, while distance and speed are scalars. When adding vectors, the final vector must include the magnitude and direction of the sum. Vectors can be added using the triangle or parallelogram method depending on whether they are parallel or not. Any vector can be expressed as the sum of its x and y components. While distance is a scalar, displacement is a vector that describes the change in an object's position. Similarly, speed is a scalar while velocity is a vector that describes the rate of change of an object's displacement over time.

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)