The zero vector is both parallel and perpendicular to any other vector. V.0 = 0 means zero vector is perpendicular to V and Vx0 = 0 means zero vector is parallel to V.
We have to be very careful with this one: If two vectors with equal magnitudes point in directions that are 120° apart, then their sum has the same magnitude that each of them has. But vectors are...
"Sweeps the nation" comes from the first PacMac game in the early 60s. In the game, PacMan is seen to use a broom and dustpan to get rid of the killer ghosts. Once the ghosts were dispatched, PacMan...