Question

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

u = <10, 0>, v = <0, -9>

Answer 1

If, \(\color{#000000 }{ \displaystyle {\bf u}\cdot {\bf v}=0 }\)
Then, your two vectors are perpendicular (orthogonal).

If, \(\color{#000000 }{ \displaystyle {\bf u}\times {\bf v}=0 }\)
Then, your two vectors are parallel.

And if niether of these conditions are met, then they are not perpendicular and not parallel (i.e. niether).

Answer 2

Oh alright. That helps.
Difference between u⋅v=0 and u×v=0

mainly ⋅ vs x
i think im forgetting what ⋅ represents

Answer 3

• is a dot product
× is a vector product, or the cross product

Answer 4

\(\color{#000000 }{ \displaystyle {\bf a}=\left(a_x,~a_y\right) }\)
\(\color{#000000 }{ \displaystyle {\bf b}=\left(b_x,~b_y\right) }\)

\(\color{#000000 }{ \displaystyle {\bf a}\cdot {\bf b}=a_x{\tiny~}b_x+ a_y{\tiny~}b_y}\)

Answer 5

does this post make sense, or is it something rediculous?

Answer 6

Ahh okay. that makes sense.
Thank you solomon

Answer 7

Ok, when you have the answer, you can post it here if you feel like, and I will verify it.

Answer 8

Good Luck!

Answer 9

I'm thinking its orthogonal. Thank you solomon for the help.

Answer 10

yes, they are perpendicular, good job!