Magnitude and direction of <-6, 0>

Step by step

The question

Question: find the magnitude and the direction of v = ⟨−6, 0⟩.

1 Draw the arrow

Draw the grid.

The arrow starts at the origin.

It goes left 6.

2 Find the length

The arrow goes straight across.

So its length is just 6.

3 Read the angle

The arrow points straight to the left: a half turn.

So θ = 180°.

So the magnitude is 6 and the direction is 180°.

4 Check

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

That is 180°.

Right!

Let's look back.

First: draw the arrow.

Then: find the length.

Then: read the angle.

Last: check.