An object is placed on a heat source. The equation T = 40 + 3Q relates the temperature T, in degrees Celsius, of the object to the energy Q, in kilojoules, transferred to the object from the source. According to the equation, what is the meaning of the 3 in this context? A. The temperature, in degrees Celsius, of the object with no transfer of energy

B. The energy, in kilojoules, at which the temperature of the object is 40 degrees Celsius

C. The increase in energy, in kilojoules, for each one-degree Celsius increase in the temperature of the object

D. The increase in temperature, in degrees Celsius, for each one-kilojoule increase in the energy

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

answer: a

step-by-step explanation: