Question

Find a unit vector u pointing in the same direction as vector v=(-10,-2) . Express u in component form.

          Find a unit vector  u
  pointing in the same direction as vector  v=(-10,-2)
 . Express  u
  in component form.
        

Added by Sandra E.

University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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Find a unit vector u pointing in the same direction as vector v=(-10,-2) . Express u in component form.
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Transcript

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00:01 To visualize this vector, we have 24 negative 32, which goes out in this direction.
00:06 Now, this has a certain magnitude, so the magnitude of you is here.
00:10 My goal is to get it to become one.
00:13 So our first steps, so i'm going to find the magnitude of you and divide it out.
00:18 So to find the magnitude of you is the square root of 24 squared plus negative 32 square.
00:25 Well, when i do that, i get 1 ,600, which means the magnitude is the square root of, 1600, which is 40...
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