Question

How do determine that these vectors are not parallel? <-8, √3> and <-2√3, -16>

Answer 1

I know they are orthogonal, but I dont know how to rule out parallel

Answer 2

whats their dot product?

Answer 3

0

Answer 4

then they are perpendicular, and not parallel

Answer 5

yeah but what is the operation i need to do if they are parallel, my book is convoluted

Answer 6

i just do a ratio test

Answer 7

<a,b,c>
------
<p,q,r>

if the ratios equal then they are scalars

a/p = b/q = c/r is parallel, or same line

Answer 8

ok so in this instance -8/-2√3 must = √3/-16 in order to parallel?

Answer 9

yes, or at least in order to have the chance of being parallel

Answer 10

parallel vectors have scalar position vectors

Answer 11

let u = <a,b,c>
let v = nu = <na,nb,nc>

a/na = 1/n
b/nb = 1/n
c/nc = 1/n

Answer 12

Ok, I think I follow the logic. Thanks a lot.

Answer 13

youre welcome