Direction Examples

Which of the following could be the direction of the vector ?

The vector is in Quadrant II.

Among the directions offered, is the only one that's in Quadrant II, that's the only choice that could be the direction of the vector.

Find the direction of the vector <4, 4>.

The direction of the vector <4, 4> is θ as shown in this picture:

From the picture we can see that

the direction of the vector is

What's the direction of the vector <-3, -3>?

This vector is in quadrant III. The direction of the vector is π + α, where α is the reference angle: 

We can find α using this triangle:  

Since 

 , 

the direction of the vector is

Find the direction of the vector <4, -4>.

This vector is in quadrant IV. The direction of the vector is 2π – α, where α is the reference angle: 

We can find alpha using this triangle: 

We find 

 .

The direction of the vector is

We could also say the direction of the vector is

 .

What's the direction of the vector <0, -9>?

Since this vector is pointing straight down, its direction is .