Question

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

Answer 1

`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|`.