In section 1.1 of your text the terms macroscopic and microscopic are used. explain what is meant by each of these terms and give an example of each?

the term macroscopic refers to objects or phenomena that can be contemplated with the naked eye.

Otherwise, what is microscopic can only be seen with the help of a microscope.

Step-by-step explanation:

the term macroscopic refers to objects or phenomena that can be contemplated with the naked eye.

Examples of macroscopic objects can be: a car, a fruit, a dog.

Otherwise, what is microscopic can only be seen with the help of a microscope.

Examples of microscopic objects can be: an atom, a bacteria and a virus.

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

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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