fdhshdjh fdhshdjh
  • 15-07-2019
  • Mathematics
contestada

Determine whether the vectors u and v are parallel, orthogonal, or neither.
u = <3, 0>, v = <0, -6>

Respuesta :

Caley637
Caley637 Caley637
  • 15-07-2019

Orthogonal I believe
Answer Link
shirleywashington shirleywashington
  • 14-08-2019

Answer:

They are orthogonal.

Step-by-step explanation:

u = <3, 0> v = <0, -6>

u.v =|u| |v|cosθ

if u.v is 0 this means that cos θ is 0 so θ = 90°

[tex]\theta=cos^{-1}\frac{u.v}{|u|\ |v|}[/tex]

If u.v = 0 then they are orthogonal.

If u.v ≠ 0 then they are neither parallel nor orthogonal

If u.v ≠ 0 and u = kv where k is constant then they are parallel

u.v = 3×0+0×-6

⇒u.v = 0

They are orthogonal.

Answer Link

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