Question

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

u = <1, -2>, v = <-4, 8>

Answer 1

@iPwnBunnies

Answer 2

The first thing to check is whether the vectors are scalar multiples of each other. If you can factor out something from the "bigger" vector, and it is the same as the smaller vector, then the two vectors will be parallel.

Answer 3

so it is orthogonal ? @iPwnBunnies

Answer 4

Well, no. Factor out vector v. We can factor out a -4.
v = <-4, 8> = -4*<1, -2>
u = <1, -2>

Therefore, u and v are parallel to each other.