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Physics Classroom is making strides to make our site accessible to everyone, and features many accessibility features.

Our site contains 6 navigation areas. The Primary, Secondary, and Page Level navigations have a screen reader version of their nav structure that allows using the left and right keys to navigate sibling navigation items, and up or down keys to navigate parent or child navigation items. The others can be navigated using tabs.

Within the main content, we leverage headers to provide in page or in tool navigation.

Although we are still rebuilding our content to leverage these tools, our images should have both short and verbose descriptions, the later describing in great detail the image for those who cannot see. Any formulas found within the images are often in the image figure below the image.

Equations and formulas are rendered using MathJax, which has both verbal, braille (including nemath braille), and keyboard navigation within them. Learn how to configure and leverage this for various screen readers on our Equation Navigation Page.

While not every area of Physics Classroom is usable purely from keyboard and screen reader, we are committed to continue work on making this possible. If you have questions or need additional help, please use this link to contact us .

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Vector Addition

This web page is designed to provide some additional practice with the use of scaled vector diagrams for the addition of two or more vectors. Your time will be best spent if you read each practice problem carefully, attempt to solve the problem with a scaled vector diagram, and then check your answer. You are cautioned to avoid making a quick reference to the solution prior to making your own attempt at the solution. Such a habit is likely to fail at nurturing the ability to draw a scaled vector addition diagram. If the solution to these practice problems are still not meaningful, you are encouraged to obtain some on-line help in The Physics Classroom. Visit the page on vector addition.

NOTE: Since your answers were determined using a scaled vector diagram, small errors in the measurement of the direction and magnitude of any one of the vectors may lead to small differences between your answers and the correct ones which are shown here. Do not have a cow.

1. Add the following vectors and determine the resultant.

3.0 m/s, 45 deg and 5.0 m/s, 135 deg
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Show/Hide Answer and Solution


2. Add the following vectors and determine the resultant.
5.0 m/s, 45 deg and 2.0 m/s, 180 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


3. Add the following vectors and determine the resultant.
6.0 m/s, 225 deg and 2.0 m/s, 90 deg
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Show/Hide Answer and Solution


4. Add the following vectors and determine the resultant.
4.0 m/s, 135 deg and 4.0 m/s, 315 deg
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Show/Hide Answer and Solution


5. Add the following vectors and determine the resultant.
5.0 m/s, 45 deg and 2.5 m/s, 135 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


6. Add the following vectors and determine the resultant.
7.0 m/s, 0 deg and 2.0 m/s, 90 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


7. Add the following vectors and determine the resultant.
8.0 m/s, 330 deg and 4.0 m/s, 45 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


8. Add the following vectors and determine the resultant.
2.0 m/s, 150 deg and 4.0 m/s, 225 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


9. Add the following vectors and determine the resultant.
3.0 m/s, 45 deg and 5.0 m/s, 135 deg and 2.0 m/s, 60 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


10. Add the following vectors and determine the resultant.
2.0 m/s, 315 deg+ 5.0 m/s, 180 deg+ 2.0 m/s, 60 deg= 2.61m/s, 173 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


11. Add the following vectors and determine the resultant.
4.0 m/s, 90 deg and 2.0 m/s, 0 deg and 2.0 m/s, 210 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution


12. Add the following vectors and determine the resultant.
2.5 m/s, 45 deg and 5.0 m/s, 270 deg and 5.0 m/s, 330 deg
Show/Hide Answer and Solution</div>" role="button" tabindex="0">
Show/Hide Answer and Solution
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