Using the order of operations, what are the steps for solving this expression? 8 × 3 ÷ (4^2 - 13) + 5^2 + 4 × 3 arrange the steps in the order in which they are performed.

(6-13)
(8-3)
(33+12)
(4x3)
(8+5)
(4^)
(24/3)
(5^)

Explanation:

These are the evaluation steps in order.

(4^2)        exponentiation inside parentheses will be performed first

(16-13)      contents of parentheses are evaluated next

(5^2)       exponentiation outside parentheses is done before any multiplication or division

(8×3)        multiplication and division are performed left to right

(24/3)      multiplication and division are performed left to right

(4x3)       multiplication and division are performed left to right

(8+25)     after all the multiplication and division, addition is performed left to right

(33+12)   addition is performed left to right

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

step-by-step explanation: