Given two vectors a⃗ =−2.00i^+ 4.00 j^+ 4.00 k^ and b⃗ = 1.00 i^+ 2.00 j^−3.00k^, do the following.

|a⃗ | =

part b

|b⃗ | =

part c
write an expression for the vector difference a⃗ −b⃗ .
enter your answers numerically separated by commas.

x, y,z =

part d
find the magnitude of the vector difference a⃗ −b⃗ .

|a⃗ −b⃗ | =

part e
is this the same as the magnitude of b⃗ −a⃗ ?
is this the same as the magnitude of ?
yes
no

Two point charges are on the y axis. a 3.90-µc charge is located at y = 1.25 cm, and a -2.4-µc charge is located at y = −1.80 cm. (a) find the total electric potential at the origin. v (b) find the total electric potential at the point whose coordinates are (1.50 cm, 0). v

Newtons view of arrangement of the universe

Two kilograms of air within a piston–cylinder assembly executes a carnot power cycle with maximum and minimum temperatures of 800 k and 300 k, respectively. the heat transfer to the air during the isothermal expansion is 60 kj. at the end of the isothermal expansion the volume is 0.4 m3. assume the ideal gas model for the air. determine the thermal efficiency, the volume at the beginning of the isothermal expansion, in m3, and the work during the adiabatic expansion, in kj.