Have you ever made a mistake when trying to solve a math problem? It can be pretty easy to do, and often will result in losing points on an exam. In the real world, such mistakes can
have more serious effects: Miscalculating how much gas you have left in your car will leave
you stranded. Miscalculating how much money you have left in your bank account might cost
you an overdraft fee. Even more serious, miscalculations have resulted in serious accidents
happening many times. Once, as a result of not using the correct units, a satellite sent to
Mars burned up in the atmosphere, wasting over $300 million dollars.
Fortunately, there are steps you can take to help avoid making errors along the way. One of
these strategies is manipulating formulas so they are solving for the variable you want before
you substitute values for the variables in the formula. This technique is especially useful
when working with large, unwieldy numbers.

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

25.3

step-by-step explanation:

1st step

add 3+6

=9

multipy 9*3

=37

i think it's b. 5.5

step-by-step explanation:

because if you subtract 2 from 7.5 that's what you

hope that . i might be wrong though =i