11. joey is 4 feet 8 inches tall. there are 2.54
centimeters in 1 inch. what is joey's height in
centimeters?

Height of Joey is 142.24 centimeters

Given that,

Joey is 4 feet 8 inches tall

There are 2.54  centimeters in 1 inch

To find: Joey's height in  centimeters

From given information,

Height of Joey = 4 feet 8 inches

we know that,

So, 4 feet = 4 x 12 = 48 inches

Therefore,

4 feet 8 inches = 48 inches + 8 inches = 56 inches

Now we have to convert 56 inches to centimeters

By given information.

Therefore,

56 inches = 56 x 2.54 = 142.24 centimeters

Thus height of Joey in centimeters is 142.24 cm

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

1

step-by-step explanation:

it's the only multiple of both and the least