A charged particle moving in a magnetic field `vec(B) = hat(i) - hat(j)` tesla, has an acceleration of `2 hat(i) + alpha hat(j)` at some instant. Find the value of `alpha`

Velocity and acceleration vectors of a charged particle moving in a magnetic field at some instant are vec(v)=3hat(i)+4hat(j) and vec(a)=2hat(i)+xhat(j) . Selcet the wrong alternative.

A point charge +q_0 is projected in a magnetic field vec B= (hat i+2 hat j-3hat k) . If acceleration of the particle is vec a= (2 hat i + b hat j + hat k) then value of b will be

A point charge +q_0 is projected in a magnetic field vec B= (hat i+2 hat j-3hat k) . If acceleration of the particle is vec a= ( 2hat i+b hat j-hat k) then value of b will be

Find the projection of vec(a) = 2 hat(i) - hat(j) + hat(k) on vec(b) = hat(i) - 2 hat(j) + hat(k) .

Find the angle between vec(A) = hat(i) + 2hat(j) - hat(k) and vec(B) = - hat(i) + hat(j) - 2hat(k)

If vec A =2 hat i+ 3 hat j+ 8 hat k is perpendicular to vec B= 4 hat j -4 hat i+ alpha hat k , then the value of alpha

A charged particle of specific charge (i.e charge per unit mass) 0.2 C/kg has velocity 2 hat(i) - 3 hat(j) (m/s) at some instant in a uniform magnetic field 5 hat(i) + 2 hat(j) (tesla). Find the acceleration of the particle at this instant

A charged particle of specific charge (i.e charge per unit mass) 0.2 C/kg has velocity 2 hat(i) - 3 hat(j) (m/s) at some instant in a uniform magnetic field 5 hat(i) + 2 hat(j) (tesla). Find the acceleration of the particle at this instant