Question

How do i determine whether the vectors u and v are parallel, orthogonal, or neither?

Answer 1

take dot product. if it is =0, then they are perpendicular
if v = some number * u, then they are //
neither of them, then they are neither.

Answer 2

Note: perpendicular means orthogonal

Answer 3

I started that and got -196, -64 but i dont know where to go from here :/ @Loser66

Answer 4

<7,-4> . <-28,16> = 7*(-28) + (-4)*16 = -196 + (-64) = -216

the vectors are not orthogonal.
Now check if they are parallel, does <-28,16> = c*<7,-4> ?

Answer 5

yes! because 7* -4 = -28 and -4 * -4 = 16,

Answer 6

ok then you are saying
<-28,16> = (-4)*<7,-4>

and therefore they are parallel

Answer 7

awesome, thank you so much! :)