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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 |
| cosine of an angle (cos) | in a right triangle, the ADJACENT leg divided by the HYPOTENUSE |
| sine (sin) | in a right triangle, the leg OPPOSITE the angle divided by the 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 ___-axis. | x |
| When adding vectors graphically, take the _______ of the second vector and place it at the head of the first vector. | tail |
| You can move a vector anywhere you want, as long as you do not change its ______________________ (length) or __________________ (angle relative to the x-axis). | magnitude (or) direction |
| When subtracting vectors, take the vector being subtracted and make it point precisely in the __________________direction. Then add that vector to the first. | opposite |
| The x-component of a vector tells us how far along the how far along the _______________ you traveled to get to the destination. | x-axis |
| The y-component of a vector tells us the __________________ you had to travel in the y-direction. | distance |
| 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 _____ and IS properly defined. | one |
| If your x-component is NEGATIVE and your y-component is POSITIVE, the vector must be in region ____ and you need to add _______ degrees to your calculator's answer. | II; 180 |
| If your x-component and y-component are both negative, the vector must be in region _____ and you need to add ______ degrees to your calculator's answer. | III; 180 |
| If x-component is positive and your y-component is negative, the vector must be in region ______ and you need to add _______degrees to your calculator's answer. | IW; 360 |
Created by:
MrsHough
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