Help
Options
Didn't know it?
click below
click below
Knew it?
click below
click below
Don't Know
Remaining cards (0)
Know
retry
shuffle
restart
0:00
Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.
Normal Size Small Size show me how
Normal Size Small Size show me how
Apologia physics M3
Two-dimensional vectors
| Question | Answer |
|---|---|
| two-dimensional motion | motion that occurs in a plane |
| displacement | when you are given both a distance and a direction |
| magnitude | the length of an arrow in a 2 D vector |
| arrows | represent 2-dimensional vectors |
| direction | where the arrow points |
| the direction of the vector | the angle between the arrow and the positive x-axis |
| tangent of an angle (tan) | in a right triangle, the opposite side from an angle divided by the adjacent side (opposite over adjacent) |
| cosine of an angle (cos) | in a right triangle, the adjacent leg divided by the hypotenuse (adjacent over hypotenuse) |
| sine (sin) | in a right triangle, the leg opposite the angle divided by the hypotenuse (opposite over hypotenuse) |
| inverse tangent | useful when we have the tangent of an angle, but not the angle itself; can be used to determine the measure of an angle |
| direction is always defined | relative to the positive x-axis |
| When adding vectors graphically, | take the tail of the second vector and place it at the head of the first vector. |
| You can move a vector | anywhere you want, as long as you do not change its magnitude (length) or direction (angle relative to the x-axis). |
| When subtracting vectors, | take the vector being subtracted and make it point precisely in the opposite direction. Then add that vector to the first. |
| The x-component of a vector tells us | how far along the x-axis you traveled to get to the destination. |
| The y-component of a vector tells us | the distance you had to travel in the y-direction |
| All two-dimensional vectors have | x- and y- components. |
| In order to keep all of our vectors consistent, | physicists like to always define the angle of a vector starting at the positive x-axis. |
| If your x- and y-components are both positive, | the vector must be in region one and is properly defined. |
| If your x-component is negative and your y-component is positive, | the vector must be in region II and you need to add 180 degrees to your calculator's answer. |
| If your x-component and y-component are both negative, | the vector must be in region III and you need to add 180 degrees to your calculator's answer. |
| If x-component is positive and your y-component is negative, | the vector must be in region IV and you need to add 360 degrees to your calculator's answer. |
Created by:
MrsHough
Popular Physics sets