[1,2,1]和[3,1,-5]的叉积是多少?

[1,2,1]和[3,1,-5]的叉积是多少?
Anonim

回答:

#1,2,1 xx 3,1,-5 = -11,8,-5#

说明:

一般来说:

#a_x,a_y,a_z xx b_x,b_y,b_z = abs((a_y,a_z),(b_y,b_z)),abs((a_z,a_z),(b_z,b_x)),abs( (a_x,a_y),(b_x,b_y))#

所以:

#1,2,1 xx 3,1,-5#

#= abs((2,1),(1,-5)),abs((1,1),( - 5,3)),abs((1,2),(3,1)) #

#= (2*-5)-(1*1), (1*3)-(1*-5), (1*1)-(2*3)#

#= -10-1, 3+5, 1-6#

#= -11, 8, -5#