Question 42

If $$\overrightarrow{a}$$ and $$\overrightarrow{b}$$ are vectors such that $$\mid \overrightarrow{a} + \overrightarrow{b} \mid = \sqrt{29}$$ and $$\overrightarrow{a} \times (2 \hat{i} + 3 \hat{j} + 4 \hat{k}) = (2 \hat{i} + 3\hat{j} + 4 \hat{k}) \times \overrightarrow{b}$$, then a possible value of $$(\overrightarrow{a} + \overrightarrow{b}).(-7 \hat{i} + 2 \hat{j} + 3 \hat{k})$$ is


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