The direction of the cross product of two vectors can be known by applying
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If the cross product of two vectors is the zero vector ( i.e a × b = 0 ) , then either one or both of the inputs is the zero vector , a = 0 or b = 0 ) or else they are parallel or antiparallel ( all b ) so that the sine of the angle between them is zero ( 0 = 0° = 0 = 180 and sin 0 = 0
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