let u3ijv4ijwi2j Find the specified scalar uvwSolutiongiven

let u=3i-j,v=4i+j,w=i+2j

Find the specified scalar : u(v+w)=

Solution

given

u=3i-j,v=4i+j,w=i+2j

v+w=4i+j+i+2j

v+w=5i+3j

u.(v+w)=(3i-j).(5i+3j)

u.(v+w)=(3*5)+(-1*3)

u.(v+w)=15-3

u.(v+w)=12.