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andrey2020 [161]
3 years ago
10

A rectangular prism is completely packed with 90 cubes of edge length fraction 1 over 2 inch, without any gap or overlap. Which

of the following describes the volume of this rectangular prism?
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

11 unit cubes and 2 smaller cubes of volume fraction 1 over 8 cubic inch each

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Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogona
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a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

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Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

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= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

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= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

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A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

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