How to add and substrating vector

To add or subtract vectors, you need to ensure that they have the same dimension (i.e., the same number of components). Once you have confirmed that the vectors can be added or subtracted, you can simply add or subtract the corresponding components of the vectors.

Here is a step-by-step guide on how to add or subtract vectors:

1. Write down the vectors in component form. For example, if you have two vectors A and B, write them as A = (a1, a2, a3) and B = (b1, b2, b3).

2. To add the vectors, simply add the corresponding components of the vectors. The sum of the vectors A and B would be: A + B = (a1 + b1, a2 + b2, a3 + b3).

3. To subtract the vectors, subtract the corresponding components of the vectors. The difference of the vectors A and B would be: A - B = (a1 - b1, a2 - b2, a3 - b3).

4. If the vectors have more than 3 components, continue adding or subtracting the corresponding components until all components have been accounted for.

5. The resulting vector will be in the same dimension as the original vectors.

It is important to note that vectors can only be added or subtracted if they have the same dimension. If the vectors do not have the same dimension, you will not be able to add or subtract them.