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Geometrical	Interpretation	of	the	Magnitude	of	
the	Cross	Product	
	
	
	
	
1)	Drop	the	perpendicular	from	vector	b	and	label	the	opposite	side	using	the	
sine	ratio.		
	
	
	
	
2)	What	is	the	area	of	this	parallelogram?		
	
	
	
	
3)	What	is	your	answer	in	2)	the	same	as?		
	
	
	
4)	How	do	you	find	the	area	of	a	triangle	using	the	cross	product?		
	
	
Geometrical	Interpretation	of	the	Magnitude	of	the	Cross	Product:

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