Question

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

u = <6, -2>, v = <2, 6>

Answer 1

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

Answer 2

hmmm actually shoot lemme fix that

Answer 3

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>

Answer 4

I think I follow

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

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?

Answer 9

hmm shoot, lemme fix that as well

Answer 10

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

Answer 11

Alright I got it. Thanks for the help!

Answer 12

yw