Take the vector u = <ux, uy> = <4, 3>.Find the magnitude of u:||u|| = sqrt[ (ux)^2 + (uy)^2]||u|| = sqrt[ 4^2 + 3^2 ]||u|| = sqrt[ 16 + 9 ]||u|| = sqrt[ 25 ]||u|| = 5To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for isu/||u||u * (1/||u||)= <4, 3> * (1/5)= <4/5, 3/5>and there it is.Writing it in component form:= (4/5) * i + (3/5) * jI hope this helps. =)...

Unlock to view answer

Unlock full access for 72 hours, watch your grades skyrocket.

For just $0.99 cents, get access to the powerful quizwhiz chrome extension that automatically solves your homework using AI. Subscription renews at $5.99/week.