A small particle moves to position \( 5\hat{i} - 2\hat{j} + \hat{k} \) from its initial position \( 2\hat{i} + 3\hat{j} - 4\hat{k} \) under the action of force \( 5\hat{i} + 2\hat{j} + 7\hat{k} \, \text{N} \). The value of work done will be \( \_\_\_\_\_\_\_ \) \( \text{J} \).
