# How do you determine whether u and v are orthogonal, parallel or neither given u=<-12, 30> and v=<1/2, -5/4>?

Aug 24, 2016

$u \mathmr{and} v$ are unlike parallel vectors..

#### Explanation:

$u \mathmr{and} v$ are parallel, if the components are proportional.

Here, the ratios of the components are (-12/(1/2)) = -24 and (

30/(-5/4)) =-24. So, they are parallel..

Thus, $u = - 24 v$, and so, they are unlike parallel vectors.

Also,$| u | = 24 | v |$.