- #1

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## Homework Statement

Prove that if a vector u, is perpendicular to both v and w, then u is also perpendicular to v+w. More generally, show that u (perp) (sv+tw) for all scalars s and t.

## Homework Equations

I was thinking that the cross product would be relevant.

## The Attempt at a Solution

I'm not quite sure where to start. I tried to use w[-wy, wx] and so forth, but I honestly don't understand their full meanings. Any help would be appreciated