Vectors
Chapter 3 Notes Outline: Vectors
Vectors
Definition:
Examples:
Scalars
Definition:
Examples:
This is how you draw a vector…
Direction of Vectors
Vector direction is the direction of the arrow, given by an angle.
Magnitude of Vectors
The best way to determine the magnitude of a vector is to measure its __________________________.
The length of the vector is proportional to the ___________________________ of the quantity it represents.
[pic]
Equal Vectors
Equal vectors have the same _____________________________________________________and represent the same quantity (such as force or velocity).
Draw several equal vectors.
Inverse Vectors
Inverse vectors have the same length, but opposite direction.
Draw a set of inverse vectors.
Graphical Addition of Vectors
Add vectors A and B graphically by drawing them together in a ________________________ arrangement.
Draw vector A first, and then draw vector B such that its __________ is on the _______of vector A.
Then draw the sum, or ____________________vector, by drawing a vector from the tail of A to the head of B.
Measure the magnitude and direction of the ___________ vector.
Practice Graphical Addition
The Resultant and the Equilibrant
Definition of Resultant:
Definition of Equilibrant:
Practice The Equilibrant
Graphical Subtraction of Vectors
Subtract vectors A and B graphically by adding vector A with the inverse of vector B (-B).
First draw vector A, then draw -B such that its tail is on the head of vector A.
The difference is the vector drawn from the tail of vector A to the head of -B.
Practice Graphical Subtraction
Sample Problem
Vector A points in the +x direction and has a magnitude of 75 m. Vector B has a magnitude of 30 m and has a direction of 30o relative to the x axis. Vector C has a magnitude of 50 m and points in a direction of -60o relative to the x axis.
Find A + B graphically.
Find A + B + C graphically.
c) Fnd A – B graphically.
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