Given $v = [3, -6, 2]$ and $w = [-1, 6, 5]$, find;
$v \downarrow w$
$w \downarrow v$
What does the magnitude of $w \downarrow v$ depend on?
What does the direction of $w \downarrow v$ depend on?
I have:
$[\frac{29}{62},-\frac{87}{31},-\frac{145}{62}]$
$[-\frac{87}{49},\frac{174}{49},-\frac{58}{49}]$
For 3 and 4, I don't know what the magnitude of those depend on. I guess they depend on the magnitude of both $w$ and $v$. The direction of that depends also on the previous direction of $w$ and $v$... help?