(04.02) A student's parents offer him one of two options to receive scholarship money for college.
Option A: Deposit $25,000.00 into his savings account and then add an additional $750.00 each day for 30 days
or
Option B. Deposit $0.01 into his savings account and then triple that amount each day for only 14 days
When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his
savings account on the last day (day 14) for Option B? If the student keeps only what is deposited on the last day, which option should he choose?

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

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation:

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step-by-step explanation:

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step-by-step explanation: