I can’t wrap my head around these vector subtractions. They make 0 sense to me, can anyone help me get this simple step correct in my head? I’m getting nowhere since a hour.

Im trying to use the Gram-Schmidt on 3 vectors, but I can’t get my head around the first equation of

$ $ u_2 = a_2 – \langle a_2,u_1 \rangle u_1$ $

The final answer don’t make any sense to me, I appended 2 pictures of 2 calculations that I just can’t solve.

On the second equation I tried to multiply the 1/2 into the second vector and then tried to v1-v2, but it didn’t get me the expected result.

Can anyone enlighten me this simple step?

Thanks!

First Equation Second Equation