[-1,2,2]和[4,3,6]的叉积是多少?

[-1,2,2]和[4,3,6]的叉积是多少?
Anonim

回答:

#6,14,-11#

说明:

由于交叉产品是分布式的,您可以“扩展”它

#( - hati + 2hatj + 2hatk)xx(4hati + 3hatj + 6hatk)#

#=(-hati)xx(4hati)+( - hati)xx(3hatj)+( - hati)xx(6hatk)#

#+(2hatj)xx(4hati)+(2hatj)xx(3hatj)+(2hatj)xx(6hatk)#

#+(2hatk)xx(4hati)+(2hatk)xx(3hatj)+(2hatk)xx(6hatk)#

#= 0 - 3hatk + 6hatj#

# - 8hatk + 0 + 12hati#

#+ 8hatj - 6hati + 0#

#= 6hati + 14hatj - 11hatk#