How do you find a) u+v, b) u-v, c) 2u-3v given #u=<-5,3>, v=<0,0>#?

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Jim G. Share
Feb 17, 2017

Answer:

#<-5,3>,<-5,3>,<-10,6>#

Explanation:

#(a) vecu+vecv=<-5,3>+<0,0>#

Add the corresponding x and y components together.

#rArrvecu+vecv=<-5,3>#

#(b) vecu-vecv=<-5,3> - <0,0>#

Subtract the corresponding x and y components.

#rArrvecu-vecv=<-5,3>#

#(c) 2vecu-3vecv=2<-5,3> - 3<0,0>#

Multiply each component by the scalar.

#2vecu-3vecv=<-10,6> - <0,0>=<-10,6>#

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