The vector 20î + 50ĵ is added to a vector. The result gives 25î + 10ĵ as the answer. The unknown vector is:

Correct option is D

​$$\begin{aligned}&\textbf{1. Given:} \\&(20\hat{i} + 50\hat{j}) + \mathbf{V} = 25\hat{i} + 10\hat{j} \\\\&\textbf{2. Solve for } \mathbf{V}: \\&\mathbf{V} = (25\hat{i} + 10\hat{j}) - (20\hat{i} + 50\hat{j}) \\\\&\textbf{3. Subtract the components:} \\&\mathbf{V} = (25 - 20)\hat{i} + (10 - 50)\hat{j} = 5\hat{i} - 40\hat{j}\end{aligned}$$​​