Question

Consider two vectors `A=3i - 1j` and `B = - i - 5j`, how do you calculate `A + B`?

Answer 1

You can simply add the components in each direction:

`A+B = (3i-1j)+(-i-5j) = 2i -6j`

Explanation:

I'm not sure this question needs much more explanation, but there is value for you in drawing a diagram showing the two vectors, then sliding `B` from the origin until its 'tail' is at the 'nose' of `A`. The resultant vector is then from the origin to the 'nose' of `B`. That will give you a visual reference for why it is possible to simply add the components.