Question

线性代数四维空间下三角形面积Find the area of the triangle with vertices （1

Answer 1

|ab|=|（3,-2,1,1）| = 根号15,|ac|=|(0,-2,0,3)=根号13,|bc|=|(-3,0,-1,2)|=根号14

已知三边求面积△＝√[s(s-a)(s-b)(s-c)] 其s=1/2(a+b+c)

求得面积为√586/4