Let s represent a false statement, let p represent a true statement, and let r represent a false statement. Find the truth value of the following statement. - [(s or -p) or r]

Work Shown:

s = false

p = true

r = false

-p = false, which is the opposite of statement p

s or -p = false or false = false

The result of an 'or' operation is false only when both parts are false; otherwise, it is true

(s or -p) or r = false or false = false

(s or -p) or r = false

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

c is the answer

step-by-step explanation: