来自段永柱的问题
若向量ab满足a+b=(-2,-1),a-b=(4,-3),则a×b=
若向量ab满足a+b=(-2,-1),a-b=(4,-3),则a×b=
1回答
2020-10-10 07:26
若向量ab满足a+b=(-2,-1),a-b=(4,-3),则a×b=
若向量ab满足a+b=(-2,-1),a-b=(4,-3),则a×b=
(a+b)^2=a^2+b^2+2ab=5
(a-b)^2=a^2+b^2-2ab=25
(a+b)^2-(a-b)^2=4ab=-20
所以
ab=-5