How do you find the magnitude of $<-2,4>$ and write it as a sum of the unit vectors?

Question

4288 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-01-08T14:47:53

$|vecr|=2sqrt5$

$<-2,4> =-2hatveci+4hatvecj$

the magnitude of a vector $vecr=( ahatveci+bhatvecj)$

is: $|vecr|=sqrt(a^2+b^2)$

for $<-2,4> =-2hatveci+4hatvecj$

$|vecr|=sqrt(2^2+4^2)=sqrt20=2sqrt5$

How do you find the magnitude of <-2,4><-2,4> and write it as a sum of the unit vectors?