A student calculates the magnetic force on a straight wire in two different—but mathematically equivalent—ways:
• Method 1: Multiply IlB and then include the factor sinθ.
• Method 2: First find the component of the wire’s length perpendicular to the field, l⊥=lsinθ, and then multiply Il⊥B.
In one or two sentences, explain why both methods produce the same numerical force value.