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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