3.1 Vectors and Scalars
3.2 Addition of Vectors – Graphical Methods
3.3 Subtraction of Vectors, and Multiplication of a Vector by a Scalar
3.4 Adding Vectors by Components
Objectives:
1. Students will compare and contrast vector and scalar quantities.
2. Students will demonstrate the graphical method of adding vectors.
3. Students will explain how multiple vectors are connected.
4. Students will solve vector problems by components using trigonometric functions.
Homework: 1,2,4,5,7-10 pp.65-66
Formula Search –Find all formulas state the units and purpose for making
calculations.
Vocabulary to Know:
Vector
Pythagorean theorem
Scalar
Tail –to-Tip
Velocity
Parallelogram method
Displacement
Scalar Components
Force
Vector Components
Momentum
Sine
Mass
Cosine
Time
Tangent
Temperature
Right Triangle
Resultant
Theta
Quadrant
Signs
3.1 Vectors and Scalars:
1. Define and give examples of vector quantities.
2. Define and give examples of scalar quantities.
3. Explain the importance of vector diagrams and how they are drawn.
3.2 Addition of Vectors – Graphical Method:
1. Explain how to add/subtract vectors in a straight line.
2. How can the resultant displacement be determined if they are not in a line?
3. How is the Pythagorean Theorem used in calculating resultant vectors?
4. State the general rules for graphically adding two vectors together, no matter what
angles they make, to get their sum.
5. Explain the tail-to-tip method of adding vectors.
6. Explain the parallelogram method of vector addition.
3.3 Subtraction of Vectors, and Multiplication of a Vector by a Scalar:
1. Explain the use of “signs” in vector addition.
3.4 Adding Vectors by components:
1. At what point is graphical analysis abandoned?
2. Draw the triangle on page fifty and assign the formulas used to solve each side. Label
the component and resultant vectors.
3. How is the “y” vector determined?
4. How is the “x” vector determined?
5. How is the resultant vector determined?
6. How is the angle of the resultant vector determined?
7. How do quadrants affect the sign of a vector? Draw a quadrant and illustrate your
answer.
8. State the steps for resolving vectors by components.