6.03 Vectors in the Plane 1.Let u = . Find the unit vector in the direction of u, and write your answer in component form. 2.Let u = . Find 7u Confused, please help!

Question

6.03 Vectors in the Plane 1.Let u = <-4, -3>. Find the unit vector in the direction of u, and write your answer in component form. 2.Let u = <-8, -9>. Find 7u Confused, please help!

sirm3d · Answer

the unit vector in the direction of u is $$\large \frac{1}{|u|}u$$

sirm3d · Answer

if k is scalar, k =

sirm3d · Answer

if u=<a,b> then |u| = sqrt(a^2 + b^2)

anonymous · Answer

The first equation you posted that would be to solve # 1 right?
I would convert the vector to slope and then plug that into U?

anonymous · Answer

Oh, wait I see, I would use  sqrt(a^2 + b^2) then plug it in to U. But what about the U that isn't absolute value?

sirm3d · Answer

the u that isn't inside the absolute value signs is your given vector

anonymous · Answer

My given vector is <-4, -3> correct?

sirm3d · Answer

yes. you want the unit vector in the same direction as that given vector

sirm3d · Answer

that should be sqrt(25), not 25, in the denominator

anonymous · Answer

1/ sqrt(-4^2 + -3^2)
1/5 (u)

sirm3d · Answer

just "distribute" the scalar into the components of the vector, like k =

anonymous · Answer

Oh, Okay, So:
1/5(-4) = -.8 Or -4/5
1/5(-3) = -.6 Or -3/5

sirm3d · Answer

yes.

anonymous · Answer

Thank you so much!! I would do the same for #2 but multiply by 7 right?

anonymous · Answer

answer for # 2 =  <-56, -63> 
thanks again

sirm3d · Answer

right.