To express the vector \( \vec{OD} \) in terms of unit vectors \( \hat{i}, \hat{j}, \) and \( \hat{k} \), we first need to know the coordinates of point \( O \) and point \( D \).
Assuming the points are defined in a three-dimensional space, we can denote:
- Point \( O \) as \( O(x_1, y_1, z_1) \)
- Point \( D \) as \( D(x_2, y_2, z_2) \)
The vector \( \vec{OD} \) can be found using the formula: \[ \vec{OD} = \vec{D} - \vec{O} = (x_2 - x_1)\hat{i} + (y_2 - y_1)\hat{j} + (z_2 - z_1)\hat{k} \]
This expression gives the vector \( \vec{OD} \) in terms of the unit vectors \( \hat{i}, \hat{j}, \) and \( \hat{k} \).
Please provide the coordinates for points \( O \) and \( D \) if you want a specific numerical expression for \( \vec{OD} \).