a) Let vector x be the vector of length 9 and in the same direction as vector u= <-4,-1> What is vector x equal to?  

Expert Answers
mlehuzzah eNotes educator| Certified Educator

Vector u has length:


We want a vector of length 9 in the same direction.  Thus, we must multiply each entry of u by `9/sqrt(17)`

This gives the vector:

`<(-36)/sqrt(17),(-9)/sqrt(17)>` which simplifies to

`<(-36 sqrt(17))/17, (-9 sqrt(17))/17 >`