value of u-v is [tex]-17i+9j[/tex] or , [tex]<-17,9>[/tex] .
Step-by-step explanation:
Here we have two vector as u = <-9, 4>, v = <8, -5> or , [tex]u=-9i+4j , v=8i-5j[/tex] . We need to find u-v . Let's find out:
We know that subtraction of vectors is as simple as subtraction of integers , i.e. same as to subtract two number ! Let's find u-v
⇒ [tex]u-v[/tex]
⇒ [tex]-9i+4j - (8i-5j)[/tex]
⇒ [tex]-9i+4j - 8i+5j[/tex]
⇒ [tex]-9i - 8i+5j+4j[/tex]
⇒ [tex](-9i - 8i)+(5j+4j)[/tex]
⇒ [tex](-17i)+(9j)[/tex]
⇒ [tex]-17i+9j[/tex]
⇒ [tex]<-17,9>[/tex]
Therefore , value of u-v is [tex]-17i+9j[/tex] or , [tex]<-17,9>[/tex] .
