For example, consider the figure alongside where vectors $$\vec{A}$$ and $$\vec{B}$$ are shown. Which of these is the correct mathematical representation of the two vectors?
• $$\vec{A} = 5\hat{i} + 4\hat{j}; \, \vec{B} = -3\hat{i}\ + 5\hat{j}$$
• $$\vec{A} = 4\hat{i} + 5\hat{j}; \, \vec{B} = 3\hat{i}\ - 5\hat{j}$$
• $$\vec{A} = -5\hat{i} + 4\hat{j}; \, \vec{B} = 3\hat{i}\ + 5\hat{j}$$
• $$\vec{A} = -5\hat{i} + 4\hat{j}; \, \vec{B} = 3\hat{i}\ - 5\hat{j}$$