How do you find the resulting vector after adding (3, 4) and (-3, -4)?

The resulting vector after adding (3, 4) and (-3, -4) is (0, 0).

To find the resulting vector when adding two vectors, you simply add their corresponding components. Vectors are often written in the form (x, y), where 'x' is the horizontal component and 'y' is the vertical component. In this case, we have two vectors: (3, 4) and (-3, -4).

First, let's add the horizontal components. The horizontal component of the first vector is 3, and the horizontal component of the second vector is -3. When you add these together, you get:
3 + (-3) = 0.

Next, let's add the vertical components. The vertical component of the first vector is 4, and the vertical component of the second vector is -4. When you add these together, you get:
4 + (-4) = 0.

So, when you add the vectors (3, 4) and (-3, -4), the resulting vector is (0, 0). This means that the two vectors cancel each other out, resulting in a vector that has no magnitude and no direction. This is a useful concept in vector addition, as it shows how vectors can combine to produce a net effect of zero.