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Example Questions
Example Question #1 : Find A Direction Vector When Given Two Points
Find
if and .
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 .
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 .
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 .
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 .
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
Find the direction vector with an initial point of
and a terminal point .
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
and , which of the following is a possible point for ?
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 #11 : Find A Direction Vector When Given Two Points
If
and , what is one possible point for ?
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
and , what is a possible value of ?
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 coordinates .
To convert to polar form, we need to find the magnitude of the vector,
, and the angle it forms with the positive -axis going counterclockwise, or . 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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