W tabeli podano cenniki dwóch korporacji taksówkowych. Należność za przejazd składa
się z jednorazowej opłaty początkowej i doliczonej do niej opłaty zależnej od długości
przejechanej trasy.
Taxi „Jedynka” Taxi „Dwójka”
Opłata początkowa 3,20 zł(1) 8,00 zł(2)
Cena za 1 km trasy 3,20 zł 2,40 zł
Pan Jan korzystał z Taxi „Jedynka”, a pan Wojciech – z Taxi „Dwójka”. Obaj panowie
pokonali trasę o tej samej długości i zapłacili tyle samo. Ile kilometrów miała trasa,
którą przejechał każdy z nich? Zapisz obliczenia.

the value of v.w= -12.

step-by-step explanation:

we are given three vector r,v and w as:

r = < 5, -5, -2> ; v = < 2, -8, -8> ; w = < -2, 6, -5>

we know that r,v and w could also be represented as:

r=5i-5j-2k

v=2i-8j-8k

and w= -2i+6j-5k

where i,j and k are the unit vectors of x,y and z-axis respectively.

also we know that it has the following property:

i.i=1 ; j.j=1; k.k=1

and i.=j.i=i.k=k.i=j.k=k.j=0

i.e. when we multiply two vectors or we find it's dot product we need to only multiply the components of x coordinates with each other; y with each other and z with each other.

hence, v.w= (2i-8j- -2i+6j-5k)

                  = 2×(-2)+(-8)×(6)+(-8)×(-5)

                  = -4-48+40

                  = -12

hence, v.w= -12

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.

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