Question

Determine whether the vectors u and v are parallel, orthogonal, or neither.

u = <10, 6>, v = <9, 5>

Answer 1

same as do http://www.mathskey.com/question2answer/16896/determine-whether-the-vectors-parallel-orthogonal-neither

Answer 2

Parralel vectors are colinear:
can be written as multiple's of one another. The way to formally check it is to set up something like this:
<10,6>=t<9,5>
and try to solve for t ( which from a cursory glance, is not possible) so therefore they are not parallel.
Orthogonality is defined as when the angle between to vectors is 90 degrees (or pi/2 radian)
Using the angle forumla
Cosine(angle)=(<10,6>.<9,5>)/(||<10,6>||||9,5||)
The answer should be zero if orthogonal (since cosine of 90 degrees equals 0).
Obviously if the answer to this isn't 0 and you can't prove they are parallel (from the steps above) then the answer is neither. :D

Answer 3

thank you guys so much i really do appreciate it