Magnitude of <0, -5>

Step by step

The question

Question: find the magnitude of v = ⟨0, −5⟩.

1 Draw the arrow

Draw the grid.

The arrow starts at 0, at the origin.

It goes down 5.

We call it v.

2 Find the length

The arrow goes straight down.

So its length is just 5.

3 Check

Let's check.

Square the length: we get 25.

Right!

Let's look back.

First: draw the arrow.

Then: find the length.

Last: check.