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

$A + B = \left(3 i - 1 j\right) + \left(- i - 5 j\right) = 2 i - 6 j$
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.