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(C) Let the initial displacement be $\vec{d_1} = 25\hat{i} - 6\hat{j} 	ext{ m}$.Let the required displacement to be added be $\vec{d_x}$.The resultan

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$-18\hat{i} + 6\hat{j}$

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(C) Let the initial displacement be $\vec{d_1} = 25\hat{i} - 6\hat{j} 	ext{ m}$.Let the required displacement to be added be $\vec{d_x}$.The resultant displacement is given as $\vec{d_R} = 7.0\hat{i} 	ext{ m}$.According to the vector addition rule: $\vec{d_1} + \vec{d_x} = \vec{d_R}$.Therefore,$\vec{d_x} = \vec{d_R} - \vec{d_1}$.Substituting the values: $\vec{d_x} = (7.0\hat{i}) - (25\hat{i} - 6\hat{j})$.$\vec{d_x} = 7.0\hat{i} - 25\hat{i} + 6\hat{j}$.$\vec{d_x} = -18\hat{i} + 6\hat{j} 	ext{ m}$.

What displacement must be added to the displacement $25\hat{i} - 6\hat{j} \text{ m}$ to give a resultant displacement of $7.0 \text{ m}$ pointing in the $X$-direction?

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