Precalculus : Find a Direction Vector When Given Two Points

Example Questions

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

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

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 .

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 #1 : 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 #1 : 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 #5 : 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 #1 : 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 #1 : 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 #1 : 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 #1 : Find A Direction Vector When Given Two Points

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