What are the components of the vector with a magnitude of 65.0 and a direction of 101.7°

The  components of the vector = (-13.18i, 63.65j)

Explanation:

Given;

magnitude of magnetic field strength, B = 65.0

direction of the magnetic field strength, θ = 101.7°

The vector has both y-component and x-component

The y-component of the vector is given as, Bsinθ,

The x-component of the vector is given as, Bcosθ,

The  components of the vector = (x, y) = ( Bcosθ, Bsinθ)

The  components of the vector = ( 65cos101.7°, 65sin101.7°)

The  components of the vector = (-13.18i, 63.65j)