Let vectors A=(1,0,-3) ,B=(-2,5,1) and C=(3,1,1), how do you calculate B-C?

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Answer 1 · 2018-03-20T01:29:33

The resultant vector is #<-5,4,0>#.

To subtract two vectors, it is sometimes easier to add the opposite vector. What I mean by that is:

#veca-vecbqquadqquad=>qquadqquadveca+(-vecb)#

So in this case:

#color(white)=vecB-vecC#

#=<-2,5,1> - <3,1,1>#

#=<-2,5,1>+(-1<3,1,1>)#

#=<-2,5,1>+<-3,-1,-1>#

#=<(-2-3),quad(5-1),quad(1-1)>#

#=<-5,4,0>#

That's the resultant vector. Hope this helped!