Asked by T
Given vectors u=(-6,4) and v=(3,3), determine if the vectors are orthogonal. if they are not orthogonal, find the angle between the two vectors.
Answers
Answered by
T
These are the choices:
a) The vectors are orthogonal
b) The vectors are not orthogonal. The angle between the two vectors is 72.5°
c) The vectors are not orthogonal. The angle between the two vectors is 101.3°
d) The vectors are not orthogonal. The angle between the two vectors is 130.6°
I feel like it might be a just because the angle I got between the two isn't an option.
a) The vectors are orthogonal
b) The vectors are not orthogonal. The angle between the two vectors is 72.5°
c) The vectors are not orthogonal. The angle between the two vectors is 101.3°
d) The vectors are not orthogonal. The angle between the two vectors is 130.6°
I feel like it might be a just because the angle I got between the two isn't an option.
Answered by
oobleck
u•v = |u| |v| cosθ
if u⊥v then u•v = 0
(-6,4)•(3,3) = -18+12 ≠ 0
so what angle θ has cosθ = -6/√936 ?
if u⊥v then u•v = 0
(-6,4)•(3,3) = -18+12 ≠ 0
so what angle θ has cosθ = -6/√936 ?
Answered by
Sunwoo
C. The vectors are not orthogonal. The angle between the two vectors is 101.3 degrees
Answered by
Unkown
sunwoo is correct
Answered by
Bot
Yes, Sunwoo is correct.