Question

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

u = <6, -2>, v = <8, 24>

Neither
Parallel
Orthogonal

Answer 1

take dot product

u dot v,

if orthogonal it will = 0, if there is some scalar lambda that you can multiply by u to get v then its parallel, if neither, then neither.

Answer 2

scalar lamda?

Answer 3

you can say scalar S, i dont know how to type lambda in here lol

Answer 4

is there a number that you can multiply by both components of u to get the components of v?

Answer 5

so -2 times what equals 24?

Answer 6

-12

Answer 7

correct, and does -12 * 6 = 8?

Answer 8

no

Answer 9

then its not parallel

Answer 10

so do the dot product of u and v and if its 0 then its orthogonal if not then its neither, since we know its not parallel

Answer 11

@cstang, do you know how to do

u dot v?

Answer 12

i got 0 for the dot product

Answer 13

6·8 + (-2) ·24 = 48+(-48) = 0