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

=force × distance a. work b. velocity c. pressure d. momentum

Aprotein molecule in an electrophoresis gel has a negative charge. the exact charge depends on the ph of the solution, but 30 excess electrons is typical. what is the magnitude of the electric force on a protein with this charge in a 1600n/c electric field? write in two significant numbers, and also in newton

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.