The direction of vector (vec{A}) is opposite the direction of the unit vector (hat{i}). Vector (vec{B}) has
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The direction of vector \(\vec{A}\) is opposite the direction of the unit vector \(\hat{i}\). Vector \(\vec{B}\) has half the magnitude of \(\vec{A}\), and \(\vec{A}-\vec{B}\) is a vector of magnitude \(\frac{3}{2} A\). Express \(\vec{B}\) in terms of \(\vec{A}\).
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