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

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°

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.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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ou would have 12 of each