The magnetic force on a charged moving particle: a) depends on the sign of the charge on the particle. b) depends on the magnetic field at the particle's instantaneous position. c) is described by all of these statements. d) is proportional both to the charge and to the magnitude of the magnetic field. e) is in the direction which is mutually perpendicular to the direction of motion of the charge and the direction of the magnetic field.

All of the statements are correct

Explanation:

Hello!

All of the statements are rigth. You can know this by examining the Lorentz Force:

a )

The dependence on the charge sign can be inferrend by the term q which is the particle's charge. If it changes sign, the force also does.

b)

Although we usually deal with constant magntic Fields, they could also be position dependent, for example the magnetic field of a wire. The fild of teh force will also inherit this position dependence, that is:

c)

d)

Again, from  the equation of the force or Lorentz force, we can see that this statement is true.

d)

The validity of this statement is given by the cross product between the velocity (which points twoards the direction of motion of the particle) and the magnetic field

hi i’m sorry to call us today so we will get back with y’all and we will have to do it haha omg was the day

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west