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Example Questions
Example Question #1 : Find A Direction Vector When Given Two Points
Find  ifÂ
 andÂ
.
To find the direction vector from  toÂ
, subtract the x- and y-coordinates ofÂ
 fromÂ
.
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 ofÂ
.
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 atÂ
.
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 ofÂ
.
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 atÂ
.
To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.
Example Question #611 : Pre Calculus
Find the direction vector with an initial point of  and a terminal pointÂ
.
To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.
Example Question #101 : Matrices And Vectors
If  andÂ
, which of the following is a possible point forÂ
?
To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.
To find the x-coordinate of ,Â
To find the y-coordinate of ,
Example Question #11 : Find A Direction Vector When Given Two Points
If  andÂ
, what is one possible point forÂ
?
To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.
To find the x-coordinate of ,
To find the y-coordinate of ,
Example Question #12 : Find A Direction Vector When Given Two Points
If  andÂ
, what is a possible value ofÂ
?Â
To find the directional vector, subtract the coordinates of the initial point from the coordinates of the terminal point.
To find the x-coordinate of ,
To find the y-coordinate of ,
Example Question #1 : Express A Vector In Polar Form
Rewrite the vector  from Cartesian coordinates to polar coordinatesÂ
.
Â
To convert to polar form, we need to find the magnitude of the vector, , and the angle it forms with the positiveÂ
-axis going counterclockwise, orÂ
. This is shown in the figure below.
We find the angle using trigonometric identities:
Using a calculator,
To find the magnitude of a vector, we add up the squares of each component and take the square root:
.
So, our vector written in polar form is
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