# 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 .

Possible Answers:     Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: 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 .

Possible Answers:    Correct answer: Explanation:

To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point. ### All Precalculus Resources 