If \( \vec{a}+\vec{b}=\hat{j} \) and \( 2 \vec{a}-\vec{b}=3 \hat{i}+\frac{\hat{j}}{2} \), then modulus value of the angle betwee

If \( \vec{a}+\vec{b}=\hat{j} \) and \( 2 \vec{a}-\vec{b}=3 \hat{i}+\frac{\hat{j}}{2} \), then modulus value of the angle between \( \vec{a} \) and \( \vec{b} \) is

If \( \vec{a}+\vec{b}=\hat{j} \) and \( 2 \vec{a}-\vec{b}=3 \hat{i}+\frac{\hat{j}}{2} \), then modulus value of the angle between \( \vec{a} \) and \( \vec{b} \) is

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