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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 \( \|\mathbf{u}\|=1 \). \[ \mathbf{v}=(-5,-3) \]

Solution: ||u|| = ?(3² + 3²) = 3?2 ||v|| = 8 So, vector v = 8(3i + 3