# Precalculus : Algebraic Vectors and Parametric Equations

## Example Questions

### Example Question #2 : Find A Direction Vector When Given Two Points

Find the vector through the points

and .

Explanation:

The correct vector is given by the subtraction of the two points: .

Since the subtraction here is component-wise, it is given by the formula: .

This results in the vector .

The vector  is also correct as it is a scalar multiple of the vector marked as correct, it is found by reversing the order of the subtraction of the two points.

### Example Question #3 : Find A Direction Vector When Given Two Points

Find the vector that has the initial point  and the terminal point .

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

### Example Question #4 : Find A Direction Vector When Given Two Points

Find the direction vector with an initial point of  and a terminal point .

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

### Example Question #1 : Find A Direction Vector When Given Two Points

Find  if  and .

Explanation:

To find the direction vector going from  to , subtract the x and y-coordinates of  from .

### Example Question #6 : Find A Direction Vector When Given Two Points

Find  if  and .

Explanation:

To find the direction vector from  to , subtract the x- and y-coordinates of  from .

### Example Question #7 : Find A Direction Vector When Given Two Points

Find the direction vector that has an initial point at  and a terminal point of .

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

### Example Question #8 : Find A Direction Vector When Given Two Points

Find the direction vector that has an initial point at  and a terminal point at .

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

### Example Question #9 : Find A Direction Vector When Given Two Points

Find the direction vector with an initial point of  and an terminal point of .

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

### Example Question #10 : Find A Direction Vector When Given Two Points

Find the direction vector that has an initial point at  and a terminal point at .

Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.

### Example Question #11 : Algebraic Vectors And Parametric Equations

Find the direction vector with an initial point of  and a terminal point .