What is the cross product of #<-3, -1, 8 ># and #<-1, 4, -9 >#?

1 Answer
ali ergin
Mar 19, 2016

#"see animation below"#
#vec C=-41 hat i+19 hat j-13 hat k#

Explanation:

enter image source here

#A= <-3,-1,8>" "B <-1,4,-9>#
#vec A=-3hat i-hat j+8 hat k#
#vec B=- hat i+4 hat j-9 hat k#
#vec A= < a,b,c >#
#vec B= < d,e,f >#
#vec C=vec AX vec B#
#vec C= hat i(b*f-c*e)- hat j(a*f-c*d)+ hat k(a*e-b*d)#
#vec C=hat i(-9-32)- hat j(-27+8)+ hat k(-12-1)#
#vec C=-41 hat i+19 hat j-13 hat k#

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