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V125BC [204]
3 years ago
10

Write the numbers from 34 to 44.

Mathematics
2 answers:
Lesechka [4]3 years ago
6 0
35,36,37,38,39,40,41,42,43
xenn [34]3 years ago
4 0
35 36 37 38 39 40,41,42,43
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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
andrey2020 [161]

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

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

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

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

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

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

8 0
3 years ago
100 points! Will mark brainliest! Only answer if u know it. Random answers will be reported
Setler79 [48]

Step-by-step explanation:

Hey there!

According to the question, you need to find out the distance from your friend's house to school.

<em>Firstly figure out the coordinate of your school and school. Then use formula of distance.</em>

So, we find the coordinates as (7,7) and (5,0).

So, x 1 = 7 y1= 7

x 2 = 5 y2 = 0

~ Use distance formula.

d =  \sqrt{( {x2 - x1)}^{2}  + ( {y2 - y1)}^{2} }

~ Put all values.

d =  \sqrt{ {(5 - 7)}^{2}  + ( {0 - 7)}^{2} }

~ Simplify it.

d =  \sqrt{ {( - 2)}^{2}  +  {( - 7)}^{2} }

d =  \sqrt{4 + 49}

d =  \sqrt{53}

D= 7.280

Therefore, the distance between your friend's house and your school is 7.3 units.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
Read 2 more answers
Mika read a 405- page book in 6 hours, how many pages per minute did she read?
barxatty [35]
Divide 405 by 6 which is 67.5
So 67.5 per hour but it wants minutes
So divide 67.5 by 60 (minutes in an hour) and you’ll get 1.125 pages per minute
6 0
3 years ago
during a winter storm, the price of the road salt had a 230% increase write 230% as a mixed numberin simplest form
amid [387]

Answer:

2.3

Step-by-step explanation:

move the decimal to the right two times

8 0
3 years ago
If f(x) =sqr rt 4x+9+2, which inequality can be used to find the domain of f(x)?
irga5000 [103]
Idk it’s seems idk idk idk
8 0
3 years ago
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