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MATH

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!!

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anonymous

  1. 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)

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    bobpursley

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