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And that's where you use the right-hand rule.
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The rule says--There are lots of names for this rule.
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Let's first take a simple case.
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Here is r;
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and let me bring the F vector and draw it like this.
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I want to define the cross product, r cross F.
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Its magnitude is this, length of r, length of F, sine of the angle.
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I'm trying to pick a direction.
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Either direction, in this case,
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is going to be out of the blackboard or into the blackboard.
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And the convention is stated in many different ways.
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One convention is, you take this r,