Magnitude and direction of <5, 0>

Step by step

The question

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

1 Draw the arrow

Draw the grid.

The arrow starts at the origin.

It goes right 5.

2 Find the length

The arrow goes straight across.

So its length is just 5.

3 Read the angle

The arrow points straight to the right.

No turn at all.

So θ = 0°.

So the magnitude is 5 and the direction is 0°.

4 Check

Let's check on the grid: the green arc turns to the arrow.

That is 0°.

Right!

Let's look back.

First: draw the arrow.

Then: find the length.

Then: read the angle.

Last: check.