Question

谁能给出证明谢谢.有向量a=(x1,y1),b=(x2,y2),定义{a,b}=|x1y2-x2y1|,证明{a,b}几

Answer 1

向量a,b构成的平行四边形面积=|a|·|b|·sinθ这里θ为向量a,b的夹角,即a·b=|a|·|b|·cosθ∴cosθ=a·b/(|a|·|b|),而a·b=x1x2+y1y2,|a|=√(x1²+y1²),|b|=√(x2²+y2²)∵sinθ>0,∴sinθ=√(...