Replica filcill
2. the patrician of ankh-morpork (which has a one man-one vote rule - he's the man, he gets
the vote) decides to build a replica of bs johnson's famous wheel. however, he does not want
to spend the money to excavate a large hole for the wheel to rotate below ground level, so he
orders the wheel build on supports so that the hub (that's the center) of the wheel is now 53
feet above ground level. the loading station is now at the base of the wheel (270 degrees).
the wheel still takes 5 minutes for a revolution and rotates counter clockwise.
y = a sin b (x-c) +d
a=amplitude
b=angular frequency = 21t/p
c=phase shift
b/c = horizontal shift
d = vertical shift
360 degrees = 2n radians
a) calculate a, the amplitude *
3 points
53

a

step-by-step explanation:

a

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

theres no picture: /

step-by-step explanation: