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Magnetic force acting on a current carrying wire

I am a high school student and I would like to know why in a magnetic field the Force, F, is equal to BIL x sin(theta), where theta represents the angle between the magnetic field and the current. I understand that F is proportional to B, I and L, but I do not understand the inclusion of sin (theta). In other words, I would like to see a simple proof or explanation of why the effective length of the wire is L x sin(theta)

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