Definition: A directed quantity, one with both magnitude and direction; the signed difference between two points.
Alright class, settle down, let’s take a look,
At a word that’s important, a geometric hook!
We’re talking about a
vector
, it's true,
And understanding this will help you see things through.
The dictionary gives us a helpful plea,
“A directed quantity… for you and me!”
It says it has
both
a size and a way,
To point its direction, day after day.
Think of it like this, a journey's bright start,
From one place to another, playing a part.
We need to know
how far
, that’s the
magnitude
you see,
The length of the path, for all to agree!
And then we have the
direction
, don't you know?
Like North or South, where the breezes flow.
It tells us
which way
the journey will go,
A line that’s pointing, steady and slow.
The "signed difference between two points" –
That's how we define it, with scientific joints!
Imagine a starting spot, then a place you’ve reached,
A vector shows the distance, carefully beseeched.
So remember this lesson, bright and bold,
A vector’s got magnitude, a story to be told.
It's about size
and
direction too,
Now go forth and apply it, just for you!
Do you have any questions? Let's discuss!