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

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Answer 1 · 2016-08-24T14:36:29

$u and v$ are unlike parallel vectors..

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

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

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