TDK - Vector Addition

Vector Addition

The addition or subtraction of vectors is a series of steps that do not change much from problem to problem. First, break the vectors into components using the law of sines and the law of cosines. Second, add the components in each axis. That is, take the x-component of each vector and add them in order to calculate the x-component of the resultant vector. The resultant is the name given to the sum of vectors. We also calculate the y-component of the resultant by adding all the y-components of the given vectors. Next, use x and y components to calculate the magnitude and direction of the resultant vector. The magnitude is calculated using Pythagorean's Theorem. The direction is calculated using the law of tangents. Please watch the following presentation that will explain exactly how vectors are added or subtracted from each other.

Vector Addition Practice

We will now use the steps you learned in the previous presentation to practice two vector addition examples and one vector subtraction example. Please watch the following presentation to view these examples.

Vector Addition Self-Assessment

Now it is your turn. Complete the following vector addition problems to verify that you understand how to add and subtract vectors. 

Vector Addition Practice Problems

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Download solutions Links to an external site.to practice problems.

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