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

1 Answer
Aug 24, 2016

#u and v# are unlike parallel vectors..

Explanation:

#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|#.