1. Ch 3 Vectors

2. Vector vs. Scalar State whether each of the following quantities is a vector or a scalar: Position AccelerationVelocity Speed Displacement Distance Force Energy Temperature Volume Vector Scalar Vector Pressure Vector

3. Adding Vectors Graphically You walk 5m @ 0 o and then turns to walk 6m @90 o. Finally, you turn to walk 8 m at 200°. What is your displacement? Addition is commutative!

4. Independence of Vectors Perpendicular vector quantities are independent of each other. For example in projectile motion –V x Velocity in the X-direction –V y Velocity in the Y-direction Are independent of each other.

5. Components of Vectors Finding the vector magnitude and direction when you know the components. Recall:  is measured from the positive x axis. Caution: Beware of the tangent function. Always consider in which quadrant the vector lies when dealing with the tangent function.

6. 8.66 5 -8.66 5 -5 8.66 -5

7. Adding Vectors Analytically Resolve each vector into its horizontal and vertical components Add all of the vertical components together Add all of the horizontal components together Draw a right triangle using the horizontal and vertical resultants

8. Adding Vectors Analytically MagnitudeAngleX componentY component 4.5N30 o 3.89N2.25N 7N210 o -6.06N-3.5N 6N150 o -5.19N3.0N ---------------------------R x =-7.36NR y =1.7N R=7.55NAngle =-13 o +180 o = 167 o