## anonymous one year ago Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, -2>, v = <2, 6>

1. anonymous

take their dot product if their dot product is 0 then they're orthogonal(perpendicular)

2. anonymous

hmmm actually shoot lemme fix that

3. anonymous

parallel vectors, are the ones that have some common factor or a common scalar for example <3,4> and <9,12> are parallel because <9,12> is really just 3<3,4>

4. anonymous

I think I follow

5. anonymous

I'm still confused on how to find the dot production, mind giving me a small example?

6. anonymous

hmmm I'd assume you've covered that in the chapter by now

7. anonymous

$$\bf <a,b>\cdot <c,d>\implies a\cdot c+b\cdot d\impliedby \textit{dot product}$$

8. anonymous

Yea I did cover it in the lesson. So let me clarify if u is <1,5> and v was <1,3> and we simply just multiply 1*5 and 1*3. Than just add 5+3 right?

9. anonymous

hmm shoot, lemme fix that as well

10. anonymous

$$\bf <{\color{brown}{ 1,5}}>\cdot <{\color{blue}{ 1,3}}>\implies {\color{brown}{ 1}}\cdot{\color{blue}{ 1}}+{\color{brown}{ 5}}\cdot {\color{blue}{ 3}}$$

11. anonymous

Alright I got it. Thanks for the help!

12. anonymous

yw