Find the vector v with the given magnitude and the same direction as u.

Question

Find the vector v with the given magnitude and the same direction as u.
Magnitude: ||v|| = 8
Direction: u = ‹6, -6›

STEP 1:	Find the magnitude of u.
STEP 2:	Use your result from Step 1 to compute a unit vector, u1, in the same direction as u.
u1=<?/√ (?) , ?/√ (?)

STEP 3:	Multiply u1 by the given magnitude to find v, a vector with the same direction as u and magnitude 8.
v=<?,?>

For step 1, my answer is √72, can someone please help me on step 2 and step 3 please!!

bobpursley · Answer

u is (6,-6) so u1=1@-45= .701,-.701 ( or 1/sqrt2 if you wish). so to get to magnitude 8, then v=8@-45= 8/sqrt2,-8/sqrt2)