平面向量a=(x1,y1),b=(x2,y2),定义运算.a※b=(x1y2,x2y1)下列正确的是.

问题描述:

平面向量a=(x1,y1),b=(x2,y2),定义运算.a※b=(x1y2,x2y1)下列正确的是.
a※b=b※a
(a※b)※c=a※(b※c)
(ua)※(vb)=(uv)(a※b)
要详解.

(1)a※b=(x1y2,x2y1),b※a=(x2y1,x1y2) 不成立(2)设c=(m,n) (a※b)※c==(x1y2,x2y1)※(m,n)=(x1y2n,x2y1m)a※(b※c)=(x1,y1)※(x2n,y2m)=(x1y2m,x2y1n),不成立(3)(ua)※(vb)=(ux1,uy1)※(vx2,vy2)=(uvx1y2,uvx2y1)(u...