A SWITCH. IT controls the flow of electrons in a circuit
|V| = 10.33 units and the direction θ = -47.35° or 312.65°.
Given the x and y components of a vector, we can calculate the magnitude and direction from these components.
Applying the Pythagorean theorem we have that the magnitude of the vector is:
|V| = 
|V| = 
The expression for the direction of a vector comes from the definition of the tangent of an angle:
tan θ =
------> θ = arc tan 
θ = arc tan 
θ = -47.35° or 312.65°