Question

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <6, -2>, v = <2, 6>

Answer 1

@FaiqRaees @zepdrix @Nnesha

Answer 2

If two vectors are parallel, then one of them will be a multiple of the other. So divide each one by its magnitude to get a unit vector. If they're parallel, the two unit vectors will be the same.
For orthogonal check if the dot product is equal to 0

Answer 3

if dot product is zero, vectors are perpendicular.
if cross product is zero,vectors are parallel.

Answer 4

"So divide each one by its magnitude to get a unit vector"

you can do that, but it's easier/faster to just divide corresponding components of the two vectors.

Like for vectors \( \large <a, b>\) and \( \large <c, d>\), if
\[\large \frac{ a }{ c } =\frac{ b }{ d}\]they are parallel.