Find the vector ( mathbf{v} ) with the given magnitude and the same direction as ( mathbf{u} ). Find the component form of ( v ) given its magnitude and the angle it makes with the positive ( x )-axis. Find a unit vector ( mathbf{u} ) in the direction of ( mathbf{v} ). Verify that ( | mathbf{u} |=1 ). [ math

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Find the vector  (  mathbf{v}  ) with the given magnitude and the same direction as  (  mathbf{u}  ).  Find the component form of  ( v  ) given its magnitude and the angle it makes with the positive  ( x  )-axis.  Find a unit vector  (  mathbf{u}  ) in the direction of  (  mathbf{v}  ). Verify that  (  | mathbf{u} |=1  ).  [  mathbf{v}=(-5,-3)  ]

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