Precalculus : Find a Direction Vector When Given Two Points

Study concepts, example questions & explanations for Precalculus

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Example Questions

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

Find the directional vector of  if points A and B are  and , respectively.

Possible Answers:

Correct answer:

Explanation:

To find vector , the point A is the terminal point and point B is the starting point.

The directional vector can be determined by subtracting the start from the terminal point.

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 #791 : Pre Calculus

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 #792 : Pre Calculus

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 #793 : Pre Calculus

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 #794 : Pre Calculus

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 #795 : Pre Calculus

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 #796 : Pre Calculus

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 #797 : Pre Calculus

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.

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