1. Multiplication of a Vector by a Scalar Section 6.3

2. Multiplying Vectors by a Scalar The following vector represents a car traveling 100 km/hr South.

3. Multiplying Vectors by a Scalar Describe the following vectors: The following vector represents a car traveling 100 km/hr South.

4. Scalar Multiples Multiplying a vector by a scalar can modify the magnitude and reverse the direction of a vector Try: Write the following in terms of vectors: Mr. Garrison is traveling 30 km per hour North a)He reverses b)He doubles his velocity c)He turns around and triples his velocity

5. Problem: Write your interpretation of the following statements. Do they all have meaning?

6. Collinear Vectors: Two vectors are collinear if their direction is either equal or opposite (ie they are parallel) Draw two vectors, u and v, to scale such that

7. Collinear Vectors Two vectors are collinear if and only if one vector is a scalar multiple of the other Try: Find k so that the following are collinear:

8. Summary: What makes two vectors collinear? How can you make any vector into a unit vector? (give it a magnitude of 1) How can a scalar change the direction of a vector? Practice: Pg. 298, #1, 4, 5, 6, 18, 20, 22

9. Determine a vector equivalent to each of the following expressions: